Isotopic investigations of Chinese ceramics

This chapter provides insights into Chinese ceramic technologies of both bodies and glazes as well as provenance by using isotopes applied to a number of case studies. The use of Sr isotopes to investigate Chinese high-fired Celadon wares and blue-and-white Jingdezhen porcelain (Jiangxi province) has revealed a clear distinction associated with the fluxes used in the glazes: plant ash in celadons and limestone in Jingdezhen glazes, something that is not clear from major element analysis. Furthermore, the technique is able to suggest by implication the nature of the silica source used in the glazes—normally weathered granitic rocks or metamorphic rocks (porcelain stone) which also contains Sr. This leads to an isotopic mixing line of the 2 Sr-rich components and is proof that 2 Sr-rich components were mixed in the manufacture of limestone glaze. This is not the case for plant ash glazes. Eventually, the technique may be used in provenance studies. Like Sr isotope analysis, lead isotope analysis relies on there being a lack of or a minimal change in the isotope ratios when the raw materials are heated. Lead isotope analysis links the use of lead in glazes to the original metal ore and if a kiln uses a distinctive lead source in its glazes, it can provide a provenance for the pottery. This has been very successful in distinguishing Chinese Tang sancai wares made in the Huangye, Huangbao, Liquanfang and Qionglai kilns.

Chinese high-fired ceramics: stoneware, porcelain and celadon Generally speaking, three terms are used in the literature for Chinese high-fired ceramics, namely stoneware, porcelain and celadon. Stoneware is a term which refers to the degree of sintering and is used to describe high-fired ceramics with a firing temperature normally higher than 1100°C. (Earthenwares are ceramics with a less vitrified body and are fired below 1000°C.). In the context of Chinese ceramics, the term stoneware is usually used to describe early high-fired ceramics dating back to the Shang dynasty (1600-1046 BC) and up to the Tang dynasty (618-907 AD). They tend to have a thin glaze with a colour ranging from brown via green to grey. The green glazed Yue wares, which were made near Ningbo in Zhejiang province and which date to the Five Dynasties (907-960) and the Song dynasty , are typical stonewares of this type.
Porcelain is a term exclusively used to refer to the white colour of high-fired ceramics, but for studies of ancient Chinese ceramics, it has a much wider meaning. Because in the Chinese language there are only two words to describe ceramics, Ci '瓷' for high-fired ceramics and Tao '陶' for low fired ceramics, many Chinese authors tend to describe all highfired ceramics as porcelain unless there is a specific name for a certain type of wares. The so-called protoporcelain is an example of this: it is a direct translation from the Chinese word 原始 瓷, meaning primitive high-fired ceramics. The best description of protoporcelain as a material is stoneware (Krahl 2011).
White porcelain was a great Chinese invention. The manufacturing technology of white porcelain was transmitted eastwards to Korea and to Japan, and westwards to Europe leading to the development of a porcelain industry in other parts of the world. Some early white porcelain dating to the late period of Northern dynasties (420-581 AD) was very thick and coarse, and the manufacture of most early white porcelain adopted the technique of applying a white slip between glaze and ceramic body to make the ware look white by covering the grey or sometimes yellowish ceramic body (Zhu et al. 2009;Li 1998 23-100). The first fine porcelains appeared in northern China in the early seventh century (Wood 1999) and it was not until the early tenth century that porcelain was made in southern China.
Celadon is a word derived from the French, first used in the seventeenth century to describe ceramics with a jade-green glaze from China, Korea, and Japan (Kerr and Wood 2004). It is now used to describe any high-fired ceramics with a green coloured glaze.
The three terms used to describe Chinese high-fired ceramics, stoneware, porcelain and celadon are therefore defined by their appearance.

The raw materials and kilns used
The raw materials for making ancient Chinese high-fired ceramics can be broadly divided into two categories, the weathered acid igneous rocks used in south China and the sedimentary coal clay used in north China (Guo 2007). The differences in the raw materials used in south China and north China are due to the different geologies in the two areas. Some 200-250 million years ago, the continent of China was fused from two blocks with different geological histories (Wood 1999). This led to different ceramic technologies in the North and South. In the South, celadons were made from porcelain stone, a pulverised altered igneous rock consisting of clay and fine grained mica, a hydrous silicate of potassium and aluminium; the potassium acted as a flux. True porcelain is made from a high firing refractory kaolin clay ('china clay') mixed with alkali feldspar (such as albite) and quartz: porcelain derives its strength partly from its vitrified bodies. The northern Chinese kaolin deposits are sedimentary and lack the alkali fluxes, resulting in a less translucent body because the formation of a vitreous phase is minimal. Feldspar, quartz, calcite or dolomite was used (Guo 2007).
The kilns used in south China normally had a long chamber and they were commonly built upon the slopes of hills; they are known as dragon kilns (Wood 1999, 33-35). The elevation of the kiln chamber and its position on a hill slope led to a natural path for the air inside the kiln, transmitting the flame along the whole length of the kiln to the top. Kilns used in the north were normally built on flat landscapes with a circularshaped chamber and a chimney at the back (known as through draft). They are known locally as mantou kilns because they resemble northern steam baked bread rolls (Wood 1999, 95). Their plan can also resemble a horse-shoe shape and 18 such Northern Song (960-1127 CE) kilns have been excavated at Yaozhou, Shaanxi province (Henderson 2000, 171-176, Fig. 4.33) associated with comprehensive evidence for various phases of pottery production in workshops. The fuel used to fire kilns was wood in both north and south China. Even in north China, where coal was commonly available, it was not used as fuel for firing ceramics until the mid-late northern Song dynasty, which, for most northern kiln sites, was the last phase of their ceramic production (Li 1998).

Coloration
Ceramics with a coloured glaze or coloured decoration were not common in China prior to the Yuan dynasty (1279-1368). Monochrome white ware porcelain and green ware celadon were the major products consumed and appreciated in the Chinese domestic market before the fourteenth century. The green colour of celadon is coloured by iron (He et al. 2015;Emami et al. 2019) probably present as both oxidised (Fe 3+ ) and reduced (Fe 2+ ) ions. However, the colour is also affected by translucency and in Yue celadons is augmented by precipitation of anorthite crystals at the body-glaze interface and also sometimes in areas rich in aluminium and potassium oxides (Vandiver et al. 1989, 358). Scattering of light from beneath the surface of Song dynasty Longquan celadon glazes, also causing brilliance, occurred because of the presence of wollastonite crystals in calcium oxide-rich areas (Vandiver and Kingery 1984, 615). Tang dynasty Changsha pale yellow wares made for export, and found on the Belitung shipwreck in large numbers, were decorated with green and brown vapour, foliage, floral and animistic patterns (Liu 2011). Monochrome Changsha copper red glazes were also produced in the Tang dynasty (Wood 1999, 169). Another Tang dynasty polychrome decorated (green, brown and more rarely blue) ware was lead glazed sancai (tricolour) ware (Rawson 2012;Shen et al. 2019): see the "Application of lead isotopes to the provenance of Chinese lead glazes" section below.
The Yuan dynasty (1279-1368), established by Mongol conquerors, was the time when there was a fluorescence in coloured ceramics, with glaze coloration and designs being developed further over the course of the Ming (1368-1644) and Qing (1644Qing ( -1912 dynasties. The pigments used were based on three transition metal colourants, cobalt, iron and copper. Underglaze painting, overglaze painting, coloured glaze and the combination of the three were the major techniques used for decorating ceramic wares. By controlling the concentration of the pigment and the firing atmosphere in the kiln, different colours and effects can be created using the same colouring elements. Cobalt colourants are associated with a range of impurities including Fe, Mn, As, Ni, Zn and Bi. The Fe:Mn ratio changes from the Yuan to Ming dynasties indicating that the origin of the cobalt also changed, one origin possibly being the Middle East (Wen et al. 2007) and later in Europe when used for the decoration of Chinese famille rose porcelain (Giannini et al. 2017). Copper red was produced under reducing conditions for Changsha wares by nanoscale copper crystals (Li et al. 2016). The green glaze of Changsha yellow wares was also sometimes opacified with tin oxide (Shen et al. 2018).
In the following, the use of isotopic techniques to investigate Chinese ceramics will be described. By using practical examples, it will demonstrated how the techniques provide characterisations that can tell us about their production technologies and sometimes their provenances.
The use of isotopes to investigate Chinese high-fired ceramics

The principles
The determination of isotopes in high-fired Chinese ceramics provides a fingerprint for the relative geological ages of raw materials used in production processes and can be used to shed light on the identity of raw materials used. This is therefore not the same as providing a priori a provenance linked to the production site. If one or more raw material was local to the primary production site, then isotope research can potentially provide a provenance for the material made there. If provenance is being investigated, it relies on there being sufficient contrast in the geological formation age across the landscape of different raw materials used to make ceramics, glazes and glasses for it to be possible to provide a match. Therefore, it is helpful to map variations in isotope signatures across the landscape (e.g. for Pb, Sr and Nd) in order to compare them with isotopic analyses of archaeological materials and potentially provide a provenance.
The use of strontium and neodymium isotope analysis to investigate ancient vitreous materials was pioneered by European scholars for ancient glass (Wedepohl and Baumann 2000;Freestone et al. 2003;Henderson et al. 2005). After initial scientific exploration, it is was decided that the application of Sr isotope analysis to ancient glass (and therefore other vitreous materials like glazes) should be based on two assumptions which are important for producing valid results. Firstly, Sr has a low relative mass difference between its isotopes and it is not susceptible to redox reactions (Faure 1986). As a result, there is no detectable fractionation (the relative partitioning of heavier and lighter isotopes) that could distort the results during the various processes of production, especially at high temperatures. Therefore, the Sr isotope compositions of the raw materials should be passed down to the glass (or glaze) that was produced from the raw materials that were used to make it. Secondly, Sr 2+ substitutes for Ca 2+ in calcium-bearing minerals such as plant ash, calcium carbonate and, especially, aragonite (in shells), so that the Sr isotopic signature of the glass or glaze should be mainly derived from the raw material(s) which introduced the calcium content. If the calcium was introduced in the form of plant ash, the Sr isotopic signature should be derived from the bioavailable Sr isotope signature of the place where the plant originally grew (as determined by the geology). If the calcium was introduced in the form of shell fragments such as in beach sand or other carbonate minerals contained in the sand used for making glass, the Sr isotope signature should be the modern (Holocene) value of seawater when the shell and carbonate formed.
Neodymium isotopes are used as an important indicator of the provenance of siliciclastic sediments in geological studies. The utility of this provenance method lies in the apparently low diagenetic mobility of rare earth elements and in distinct Sr-Nd characteristics of different crustal source terrains (McLennan et al. 1993). These features make Nd isotopes suitable to determine silica sources such as sand or quartz pebbles that may have been used in the manufacture of ancient glass or glaze. The neodymium in glass and glaze is likely to have originated from the heavy mineral content of the silica source used for making glass. Since the early days of applying Sr-Nd isotopic analysis to ancient glass, it has been developed as a very promising method for provenance studies (Henderson et al. 2010;Ganio et al. 2013;Degryse 2015;Henderson et al. 2020). A big data base is crucial for any method to work, especially isotopic provenance. Therefore, over the last 20 years, or so, Sr-Nd isotopic data for glass of a range of ages, but also for likely raw materials, has been produced around the world. The provenance of ancient glass using Sr-Nd isotopic signatures is beginning to reach a level of maturity and to the extent that the technique can be used to answer some important questions about raw material use, provenance and mixing in a way that trace element analysis, another sensitive technique, cannot always. Apart from glass and glaze, other vitreous materials that could potentially benefit from Sr-Nd isotope analysis are faience and enamels. Other isotopes that have been measured recently in the study of ancient glass are boron isotopes (Devulder et al. 2014) and antimony isotopes (Lobo et al. 2013). However, these isotopic techniques are still to realise their full potential.
The use of Sr-Nd isotopes to investigate Chinese high-fired ceramics (for experimental conditions, see supplementary information) The application of Sr-Nd analysis to Chinese high-fired ceramics was originally inspired by the works on ancient glass, but due to the different nature of the two materials and associated production technologies, Sr-Nd isotopic studies of Chinese high-fired ceramics have gone down a somewhat different path in recent years. The earliest Sr-Nd isotopic analyses of Chinese high-fired ceramics were meant to be used for more or less the same purpose as the Sr-Nd study of ancient glass, to provenance them. Li et al. (2005) first explored the potential of Sr isotope analysis in Chinese ceramic provenance. Ceramic body samples from two distinct types of stoneware made using raw materials from different geological contexts, Yaozhou (Shaanxi province) Tang dynasty (618-907) tricolour wares and Song dynasty (960-1279) Jizhou (Jiangxi province) black wares, were analysed for their Sr isotopic compositions. The results showed a clear difference between the two materials indicating that the calcium-bearing raw materials used to make them derived from different geological contexts. After this initial success, the same group of researchers (Li et al. 2006) applied Sr and Nd isotopic analysis to the ceramic bodies of other Tang dynasty (618-907 AD) tricolour wares produced at the Yaozhou kiln (Shaanxi province) and the Gongyi kiln (Henan province), as well as modern replicas; the results showed again that isotope analysis could differentiate between the three groups of materials clearly. Li et al. (2008) applied Sr isotopic analysis to two types of ceramics that occurred in the same geographical area but that were produced over 2000 years apart: white wares from earliest state of Erlitou, Henan province (1900-1500 BC) and white porcelain from Gongyi, Henan province dating to the Tang dynasty (618-907 AD). They did this so as to test the assumption that the two pottery types were made by exploiting the same kaolinite clay deposit in Henan province. The results showed that they were both made using kaolinite clays but that the origins of the clay used were different. This suggested that the prestigious white pottery wares used in Erlitou may have been produced at a different location and transferred from outside the area for a specific purpose.
However, currently, the real strength of Sr-Nd isotopic analysis of Chinese ceramics does not reside in its use as a provenance tool. There are other techniques, such as trace element analysis (laser ablation inductively coupled plasma mass spectrometry), which can just as well be used instead of the more expensive Sr-Nd isotopic analysis for provenance studies; trace element analysis uses far smaller samples than Sr-Nd isotope analysis. The specialised application of Sr-Nd isotopic analysis to Chinese ceramics is that it can provide clues which can be used to work out recipes used for the manufacture of Chinese high-fired ceramics in a way that no other technique can at the moment. This is not to say that Sr-Nd isotope analysis of Chinese high-fired ceramics may not one day also become a crucial provenance tool.
Throughout history, Chinese high-fired ceramics, such as different types of stonewares and celadon (see Figs. 1 and 2), have nearly all been made with a calcareous glaze. Two high calcium materials, limestone and plant ash, have been commonly suggested as the fluxes used in the recipes and therefore the source of calcium in glazes. However, apart from a few exceptions, it is never clear for most ancient Chinese glazes which specific calcareous material was used in a particular recipe. This situation has prevented scholars from achieving a clear understanding of how the technology of ancient Chinese high-fired glazes developed over time. Strontium isotopic signatures ( 87 Sr/ 86 Sr) together with the strontium to calcium ratios (Sr × 10 3 /Ca) and Sr concentrations are just the right parameters to tackle this issue, because different calcareous materials, limestone, plant ash and shells, each have characteristic values. There are other calcium sources in nature, such as fluorite and bone ash. They would have introduced significant amounts of other elements, such as F and P, along with Ca, if they had been used as the calcium source in a glaze recipe. Since no high F and high P glazes have been found, they are not candidates for the calcium source in ancient Chinese high-fired glazes. Moreover, nearly all ancient Chinese ceramic production sites were located in inland areas, so the possibility of seashells being used as a calcium source in glaze recipes is also excluded-in any case if shells had been used this would be revealed by a 'modern' Sr isotope signature. Therefore, at the moment, the key question to address using this technique is the identification of the calcium flux used in ancient Chinese glaze recipes: it is plant ash or limestone?
The concentrations of P 2 O 5 , MgO and sometimes MnO have been used as indicators in trying to identify the source of calcium for a certain glaze recipe (Guo 2007). However, due to the heterogeneous nature of plant ashes, the contents of P 2 O 5 , MgO and MnO hardly ever gave a clear answer to the question. On the other hand, the three values normally associated with Sr isotopic analysis, 87 Sr/ 86 Sr, the strontium to calcium ratio (Sr × 10 3 /Ca) and Sr concentrations are fundamentally different for limestone and plant ash as elaborated below so this is a way of distinguishing between the two.
The 87 Sr/ 86 Sr for limestone should be the same as the 87 Sr/ 86 Sr of the seawater when (in geological time) the limestone was deposited, which is generally lower than modern seawater with a 87 Sr/ 86 Sr value of 0.7091, while the 87 Sr/ 86 Sr value of plant ashes would reflect the bio-available 87 Sr/ 86 Sr for the place where the plant grew. With the assumptions that plant ashes that were used would have grown near the ceramic production site and that bio-available 87 Sr/ 86 Sr of a certain location would not change unless major ecological changes occurred, bio-available 87 Sr/ 86 Sr retrieved near ancient production sites should normally be enough to provide a reference 87 Sr/ 86 Sr value. The strontium to calcium ratios (Sr × 10 3 /Ca) for limestone and plant ash are also largely different. Turekian and Kulp (1956) reported the strontium to calcium ratios (Sr × 10 3 /Ca) of over a hundred limestone units sampled worldwide: the average Sr × 10 3 /Ca was 1.5. On the other hand, the Sr × 10 3 /Ca of plants should be the same as the soils in which the plants grow, which is around 10 (Capo et al. 1998), because plants do not discriminate between Sr 2+ and Ca 2+ when taking them up from soils. Similarly, there should be no change in relative levels of Sr and Ca when plants are ashed. Therefore, the Sr × 10 3 /Ca of a plant ash should have more or less the same value as that in the soils. Barkoudah and Henderson (2006) reported the major, minor and trace elements of 25 plant ashes sampled in Syria with Sr isotope results for them showing clear contrasts between northern and southern Syria (Henderson et al. 2009). The Sr × 10 3 /Ca ratios for them average 9.6. Therefore, the claim that Sr × 10 3 /Ca for plant ash is nearly an order of magnitude higher than that of limestone should be a secure one, with the former being around 10 and the latter being around 1.5. Because plant ashes have much higher Sr × 10 3 /Ca than limestone, when introducing the same amount of Ca in the glaze, the amount of Sr brought in by plant ash should also be much higher. Therefore, as demonstrated above, strontium introduced into glaze by limestone should be very different from that introduced by plant ash in terms of their strontium isotopic signature and elemental features.
Unlike the situation in ancient western glasses where the Sr in the glass was mostly contributed from one source (plant ash for plant ash glass [Henderson et al. 2010] and beach sand for natron glass [Degryse 2015]), in Chinese high-fired ceramic glazes, the Sr was normally contributed from two sources: the silica source and the calcareous flux (Ma et al. 2014;Li et al. 2019). Theoretically speaking for any material made by fusing Fig. 1 Jingdezhen glazed blue-and-white porcelain; the glaze was made using a limestone flux Fig. 2 Yue ware; the glaze was made using a plant ash flux two or more raw materials with different Sr isotopic compositions ( 87 Sr/ 86 Sr and Sr concentration), its Sr isotopic composition should be a mixture of Sr isotopic compositions of the two or more raw material components according to the equation below.
The equation 87 Sr 86 SrM against Sr M is a hyperbola and is dependent on the weight ratio between component A and component B (Fig. 3).
Because the siliceous raw material used in western glass making in Late Bronze Age Mesopotamia was crushed quartz pebbles which do not contribute Sr to the glass melt at all, it is safe to assume that the Sr content of that glass was introduced in one calcium-bearing component of the raw material (the plant ash). But this assumption has to be refined for Chinese high-fired ceramic glaze studies, in two ways. On the one hand, when the silica source and calcareous flux with similar Sr contents but different 87 Sr/ 86 Sr signatures are mixed when making glaze, the Sr isotopic composition of the glaze should be a mixture of values contributed from the two raw materials according to Eq. 1. Due to the variations of the Sr contents and 87 Sr/ 86 Sr in the amount of raw materials used, Sr isotopic analysis of samples taken from different shards of a same type of glaze should always display a diagonal line in a plot of 87 Sr/ 86 Sr against the reciprocal of Sr ppm (or a hyperbola in a plot of 87 Sr/ 86 Sr against Sr ppm). Moreover, the extrapolated ends of the mixing line should point to the Sr isotopic compositions of the raw materials (Li et al. 2019): see Fig. 3.
On the other hand, when the calcareous flux contributes the vast majority of Sr to the glaze, which is normally over 400 ppm as is the case for plant ash glaze, the pattern for 87 Sr/ 86 Sr against Sr ppm when plotted would approximate to a horizontal line with consistent 87 Sr/ 86 Sr values near that of the calcareous flux (Fig. 4). This is because the contribution of 87 Sr/ 86 Sr from the silica source in the glaze, which normally contributes less than 100 ppm Sr, would be close to negligible according to Eq. 1 (Ma et al. 2014). Therefore, according to the plotted line in Fig. 4, we should be able to estimate how much Sr was introduced into a glaze by the shape of the line and to estimate the 87 Sr/ 86 Sr of the calcareous flux by extrapolation.
By using the signature values of 87 Sr/ 86 Sr and Sr × 10 3 /Ca for limestone and plant ash and with the help of plotted 87 Sr/ 86 Sr and Sr concentration data, the calcareous flux used in a number of Chinese glaze recipes, which had been unclear and sometimes confusing due to ambiguous historical records, have been worked out. Ma et al. (2016) showed that the Ming dynasty (1368-1644 AD) Blanc De Chine glaze (Fig. 5) and Qing dynasty (1636-1912 AD) blue-and-white glaze produced at Dehua, Fujian province were fluxed with different calcareous fluxes: the former by calcareous plant ash and the latter by limestone. This result is in accordance with available historical records. In this study, it was also discovered that two recipes were used for making blue-and-white porcelain glazes during the late Ming and early Qing dynasties at the Wun Yiu kiln in Hong Kong: calcareous plant ash was the flux for one recipe and limestone for the other. It was suggested that the reason why two recipes were used was that the workshop was run by two families, and the two families used different recipes for their products. Li et al. (2016) studied the Sr isotopic compositions of the bodies of Southern Song (1127-1279 AD) imperial Guan wares (a prestigious thick glazed celadon, see Fig. 5) and two sources of raw materials found Fig. 3 The hyperbolic mixing line of Sr isotopic compositions of glaze made by two raw material components (redrawn from Li et al. 2019, Fig. 2) near the manufacturing site. The authors suggest that the raw materials used for imperial Guan wares were both high aluminium clays but that the difference in the Sr isotope compositions between the wares, and therefore the raw materials used, was due to the refinement and levigation processes which had changed the mineralogical composition of the refined clay used to make the wares. Xu et al. (2018) studied the Sr isotopic compositions of the black glaze and its possible raw materials in Song dynasty Jizhou wares (black glazed stonewares produced in Jiangxi province), and concluded that the black glaze of Jizhou wares was made by fusing local high aluminium clay, high silica plant ash and a small amount of iron colourant. Ma et al. (2019) studied the Sr isotopic compositions of glazes produced in various periods (tenth to seventeenth century AD) at Longquan, Zhejiang province. According to the results, the authors concluded that the famous Longquan celadon glaze was a glaze fluxed with a calcareous plant ash rather than the previously widely accepted idea that it was fluxed with limestone. Shen et al. (2019) studied the glazes and possible raw materials used to make Tang to Northern Song dynasty (tenth to twelfth century AD) Yaozhou celadon wares (Fig. 5), and concluded that the glaze was fluxed with plant ash produced from vegetation growing on the local Loess Plateau. A recipe recorded in the early twentieth century records that a local calcareous rock was used. It is still being used to make modern replicas, so the local calcareous rock must have been introduced much later than the date of the ancient Yaozhou celadon samples.
With more and more isotope results for high-fired Chinese glaze recipes being produced, it is approaching the time for one of the most important questions in Chinese ceramic studies to be answered: when and how did limestone glaze replace plant ash glaze to make Chinese high-fired ceramics? We know that Chinese high-fired ceramic glaze began as plant ash glaze when protoporcelain emerged (Kerr and Wood 2004), and we know that in the eighteenth to nineteenth centuries AD, and even today, that the traditional glaze for handmade wares was limestone based. There is no doubt that limestone glaze was a more advanced technology compared to plant ash glaze for the purpose of coating high-fired ceramics. It is more predictable, easier to control, the raw material is easier to get, it is easier to mass-produce glazed ceramics Sr/ 86 Sr versus Sr ppm in limestone and plant ash glazes. The mixing line for limestone glaze can be seen but a mixing of the two raw materials cannot be seen in the pattern of Sr isotopic compositions for multiple plant ash glaze data because the Sr contribution from the siliceous material is negligible according to Eq. 2 (redrawn from Ma et al. (2014) Fig. 1) and ecologically more friendly. So there must have been a transitional period when limestone glaze was first invented somewhere, the technology started to spread and it was replaced with the out-dated plant ash glaze over a much larger geographical area. Ceramics are among the few things that we know were mass-produced, extensively traded, over short and long distances in ancient times, are still available in large quantities and are well preserved. Answering this specific question can provide us with a very unique perspective on how technology evolved in ancient Chinese society, and how different it was from technological upgrades and technological evolution today.
Compared to the extensive application of Sr isotopic analysis of Chinese high-fired ceramics, the application of Nd isotopic analysis is very much under-developed. Apart from some early attempts using this technique for provenance (Li et al. 2005;Li et al. 2006;Li et al. 2008), in the last 10 years, there have been very few new advances in this area. However, Nd isotopes are very powerful for identifying the silica source used to make ancient vitreous materials, so it should be very promising for identifying the siliceous raw material used in certain ceramic bodies and glaze recipes. So, given time, more research using Nd isotope analysis to investigate the technology and provenance of Chinese high-fired ceramics should bear more fruit, potentially providing more information about silica sources and, in combination with Sr, provenance.
A role for lead isotope analysis?
The principles (for experimental conditions, see supplementary information) Lead has 4 isotopes, namely 204 Pb,206 Pb,207 Pb,and 208 Pb. Because the latter three isotopes are radiogenic and their abundances depend on the geological age of the lead, lead has a large range of natural isotopic compositions. Thus, lead isotope ratios are used in archaeological chemistry to trace lead- containing artefacts back to their ore source (Gale and Stos-Gale 2000;Pollard et al. 2006).
So far, lead isotope analysis is the most effective method for the provenance study of lead-bearing objects such as metals, lead-silica glass and lead glazed ceramics. Between the 1960s and 1980s, Brill and others introduced this method into archaeology to identify the source of ancient lead raw materials used (Brill and Wampler 1967). Gale and Stos-Gale (1982, 2000 in particular developed it further. In the 1990s and later, doubts were raised about the feasibility of lead isotope analysis due to a claimed process of fractionation causing severe problems in the interpretation of the results by disrupting the ratios and therefore the characterisation of the lead-rich material which led to a famous controversy in archaeological science (Muhly 1995;Budd et al. 1995;Budd et al. 1996;Pollard and Heron 1996;McGill et al. 1999;Qin et al. 2004). The controversy settled down after Budd et al. announced that their simulation experiments did not show measurable isotopic alteration using thermal ion mass spectrometry (McGill et al. 1999). Cui and Wu's (2011) experiments to imitate nonequilibrium evaporation during metallurgical processing of lead showed that the process altered the lead isotopic ratios of the remaining liquid. However, they found the process to be minimal so that in most ancient metallurgical processes, lead isotopic fractionation can be ignored. So, with this in mind, lead isotope analysis is still the most useful method for identifying the provenance of the lead-bearing artefacts.
Four lead isotopes can be examined by plotting three groups of the four ratios ( 204 Pb,206 Pb,207 Pb,208 Pb). In general, if there is no overlap between groups, the source of the lead mine can be defined by using two sets of isotope ratios. Some scholars have pointed out that because of the linear correlation between the two isotope ratios in archaeological materials-it is only for a general qualitative investigation of archaeological events-only one set of isotope ratios need be used. However, lead ores are common in China, especially in the Central Plains. Therefore, by using the ratio of 204 as the denominator, commonly used in geochemistry, and 206 as the numerator commonly used in archaeology for a twodimensional map analysis, the overlapping effect in lead isotope archaeology cannot be avoided. This usually causes unnecessary trouble when data processing. 206 Pb,207 Pb,and 208 Pb are daughter isotopes and are the final radioactive decay products of U and Th of decay chains beginning with 238 U, 235 U, and 232 Th, respectively. 204 Pb is the only nonradiogenic lead isotope. The single-stage evolution model of lead isotope presented by Holmes and Houtormans (Holmes 1946) assumes that the regional distribution of U, Th and Pb is uniform at the initial stage of the Earth's formation. Moreover, the ratios of U/Pb and Th/Pb in mines show regional differences. In such a closed system, U and Th decay continuously to form Pb unless the ore deposit is mined. The lead isotope ratio (a0 = 9.307, b0 = 10.294, c0 = 29.476) of the Canyon Diablo meteorite Fig. 7 Locations of major Tang Sancai kiln sites represents the original lead isotope composition at the initial stage of the Earth's formation, from which the isochron equation can be derived (Patterson 1956). In other words, the scatter diagram of 207 Pb/ 204 Pb versus 206 Pb/ 204 Pb in ore samples with the same geochron will be a straight line.
In sum, when the ratios cluster together or if the scatter diagram of 207 Pb ( 208 Pb)/ 204 Pb versus 206 Pb/ 204 Pb is in a straight line, we can infer that these samples might have the same sources (Cui and Wu 2008).

Application of lead isotopes to the provenance of Chinese lead glazes
Due to the high lead contents of lead glazed ceramics, one can use lead isotope analysis to investigate the source of lead materials used in glaze preparation. Mason et al. (1992) and Wolf et al. (2003) carried out pilot studies in applying lead isotope analysis as a provenance study of Islamic lead glazed pottery. In recent years, lead isotope analyses of seventh to tenth century glazed pottery in East Asia have been extensively carried out. First Cui et al. (2010) found that the lead isotope ratios of earthenware Tang sancai lead glazes from two Tang dynasty kilns, the Huangye kiln in Henan province and the Huangbao kiln in Shaanxi province, did not overlap with each other, which indicates that the two kilns used different lead sources for their glazes. Some examples of Tang sancai tricolour ware are shown in Fig. 6.
A further study showed that the lead source used by the Huangbao kiln came from the geochemically defined Northern China province, while the lead source used by the Huangye kiln came from geochemically defined Yangtze Province, see Fig. 7 (Cui et al. 2010;Shen et al. 2019). Tatsumi et al. (2011) pointed out that the glaze of Nara (Japan) tricolour pottery was mostly made with a Japanese lead ore, and samples unearthed from the late sixth century Asuka Ike (飛鳥池) site partially used lead material similar to that used in the Huangye kiln. Analyses of Bohai glazed pottery unearthed at Kraskino, southern Russia dating to the Tang dynasty (618-907 AD) shows that the lead materials used in the pottery came from many sources, including Japanese and Chinese lead ores (Furihata et al. 2015).
In Peking University (PKU), the lead isotope database of Tang sancai wares has been constructed since 2010. Up to now, we have produced primary lead isotope ratio diagrams of Tang sancai potteries. The database includes all important kiln sites for Tang sancai that have been excavated (Fig. 7). As shown in Fig. 8, the lead isotope ratios of Tang sancai samples from Huangye, Huangbao, Liquanfang and Qionglai kilns clearly cluster and can be roughly divided into four groups.
Thus when lead isotopes are determined in Tang sancai pottery glazed wares excavated from a range of archaeological sites and compared to the results for kiln sites held in the PKU database, we may be able to provide their exact provenance.

Conclusions
Chinese high-fired ceramics include celadon and porcelain wares made as early as the fifth century AD with a peak in the Ming and Qing dynasties. The wares were copied widely leading to blue and white (and other decorated) wares becoming very popular in the eighteenth and nineteenth centuries. The scientific analysis of Chinese high-fired ceramics allows us to answer a range of questions about the production technologies used to make these important wares and in some cases about their provenance. Isotopic analyses have indicated what raw Fig. 8 The upper and lower figures show lead isotope ratios for Tang Sancai glaze samples from four kiln sites. The three enclossed groupings separate the kilns with the Qionglai samples plotting outside the rest. Note that some Liquanfang sanples fall into groupings for Huangye and Huangbao kilns materials were used in (bodies and) glazes, how they were sometimes refined, how different sources of calcium were sometimes mixed, and by defining lead isotope signatures for kilns, a provenance for lead-rich glazed wares is obtained.
Authors' contributions Not applicable. Data availability Data sharing is not applicable to this review article as no new data were created or analysed in this study.

Compliance with ethical standards
Conflict of interest The authors declare that they have no conflicts of interest.
Code availability Not applicable.
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.