Abstract
This chapter gives an overview of theoretical and computational studies of physical phenomena manifesting themselves in photon, electron and ion collisions with atomic clusters and nanoparticles (NPs). The emphasis is made on ion and electron scattering as well as photoabsorption of metal NPs which are of current interest in application in cancer treatments with ionizing radiation. Although the number of reports on dose enhancement and radiosensitization due to metal NPs has been rapidly increasing during the past years, physical mechanisms of enhanced production of secondary electrons and reactive species due to sensitizing NPs are still a debated issue and require thorough investigation. In this chapter, we elucidate the essential role of collective electron excitations in the formation of electron emission spectra of metal clusters and NPs. These effects appear also in other types of nanoscale systems, such as carbon-based NPs. We also briefly overview a number of recent Monte Carlo-based studies devoted to the investigation of radiosensitization and dose enhancement effects for proton irradiation combined with metal NPs.
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Notes
- 1.
In the region \(\theta > 10^{\circ }\), where \(q > 1\), the process of elastic scattering on the fullerene shell with the subsequent excitation of surface multipole plasmons becomes dominating. This process is described by the formulas of the second Born approximation which was used to correct the calculated cross section at large values of transferred momentum.
References
Salata OV (2004) Applications of nanoparticles in biology and medicine. J Nanobiotechnol 2:3
Murthy SK (2007) Nanoparticles in modern medicine: state of the art and future challenges. Int J Nanomed 2:129–141
Herold DM, Das IJ, Stobbe CC, Iyer RV, Chapman JD (2000) Gold microspheres: a selective technique for producing biologically effective dose enhancement. Int J Radiat Biol 76:1357–1364
Hainfeld JJ, Slatkin DN, Smilowitz HM (2004) The use of gold nanoparticles to enhance radiotherapy in mice. Phys Med Biol 49:N309–N315
Porcel E, Liehn S, Remita H, Usami N, Kobayashi K, Furusawa Y, Le Sech C, Lacombe S (2010) Platimun nanoparticles: a promising material for future cancer therapy? Nanotechnology 21:085103
McMahon SJ et al (2011) Biological consequences of nanoscale energy deposition near irradiated heavy atom nanoparticles. Sci Rep 1:8; Corrigendum: ibid. 3, 1725 (2013)
Zhang X-D et al (2015) Ultrasmall glutathione-protected gold nanoclusters as next generation radiotherapy sensitizers with high tumor uptake and high renal clearance. Sci Rep 5:8669
McQuaid HN et al (2016) Imaging and radiation effects of gold nanoparticles in tumour cells. Sci Rep 6:19442
FP7 Initial Training Network Project “Advanced Radiotherapy, Generated by Exploiting Nanoprocesses and Technologies” (ARGENT), http://www.itn-argent.eu
Ali H, van Lier JE (1999) Metal complexes as photo- and radiosensitizers. Chem Rev 99:2379–2450
Butterworth KT, McMahon SJ, Currell FJ, Prise KM (2012) Physical basis and biological mechanisms of gold nanoparticle radiosensitization. Nanoscale 4:4830–4838
Kobayashi K, Usami N, Porcel E, Lacombe S, Le Sech C (2010) Enhancement of radiation effect by heavy elements. Mutat Res 704:123–131
Xiao F, Zheng Y, Cloutier P, He Y, Hunting D, Sanche L (2011) On the role of low-energy electrons in the radiosensitization of DNA by gold nanoparticles. Nanotechnology 22:465101
Zheng Y, Hunting DJ, Ayotte P, Sanche L (2008) Radiosensitization of DNA by gold nanoparticles irradiated with high-energy electrons. Radiat Res 169:19–27; Erratum: ibid. 169, 481–482 (2008)
Sicard-Roselli C et al (2014) A new mechanism for hydroxyl radical production in irradiated nanoparticle solutions. Small 10:3338–3346
Surdutovich E, Solov’yov AV (2014) Multiscale approach to the physics of radiation damage with ions. Eur Phys J D 68:353
Garcia Gomez-Tejedor G, Fuss MC (ed) (2012) Radiation damage in biomolecular systems. Springer Science+Business Media B.V
Boudaiffa B, Cloutier P, Hunting D, Huels MA, Sanche L (2000) Resonant formation of DNA strand breaks by low-energy (3 to 20 eV) electrons. Science 287:1658–1660
Huels MA, Boudaiffa B, Cloutier P, Hunting D, Sanche L (2003) Single, double, and multiple double strand breaks induced in DNA by 3–100 eV electrons. J Am Chem Soc 125:4467–4477
Jain S et al (2011) Cell-specific radiosensitization by gold nanoparticles at megavoltage radiation energies. Int J Radiat Oncol Biol Phys 79:531–539
Jain S, Hirst DG, O’Sullivan JM (2012) Gold nanoparticles as novel agents for cancer therapy. Br J Radiol 85:101–113
Liu P, Huang Z, Chen Z, Xu R, Wu H, Zang F, Wang C, Gu N (2013) Silver nanoparticles: a novel radiation sensitizer for glioma? Nanoscale 5:11829–11836
Luchette M, Korideck H, Makrigiorgos M, Tillement O, Berbeco R (2014) Radiation dose enhancement of gadolinium-based AGuIX nanoparticles on HeLa cells. Nanomed Nanotechnol 10:1751–1755
Miladi I et al (2015) Combining ultrasmall gadolinium-based nanoparticles with photon irradiation overcomes radioresistance of head and neck squamous cell carcinoma. Nanomed Nanotechnol 11:247–257
Porcel E et al (2014) Gadolinium-based nanoparticles to improve the hadrontherapy performances. Nanomed Nanotechnol 10:1601–1608
Kim J-K et al (2010) Therapeutic application of metallic nanoparticles combined with particle-induced X-ray emission effect. Nanotechnology 21:425102
Polf JC, Bronk LF, Driessen WHP, Arap W, Pasqualini R, Gillin M (2011) Enhanced relative biological effectiveness of proton radiotherapy in tumor cells with internalized gold nanoparticles. Appl Phys Lett 98:193702
Schlathölter T et al (2016) Improving proton therapy by metal-containing nanoparticles: nanoscale insights. Int J Nanomed 11:1549–1556
McMahon SJ, Paganetti H, Prise KM (2016) Optimising element choice for nanoparticle radiosensitisers. Nanoscale 8:581–589
Sancey L et al (2014) The use of theranostic gadolinium-based nanoprobes to improve radiotherapy efficacy. Br J Radiol 87:20140134
Baccarelli I, Gianturco FA, Scifoni E, Solov’yov AV, Surdutovich E (2010) Molecular level assessments of radiation biodamage. Eur Phys J D 60:1–10
Schardt D, Elsässer T, Schulz-Ertner D (2010) Heavy-ion tumor therapy: physical and radiobiological benefits. Rev Mod Phys 82:383–425
Wälzlein C, Scifoni E, Krämer M, Durante M (2014) Simulations of dose enhancement for heavy atom nanoparticles irradiated by protons. Phys Med Biol 59:1441–1458
Lin Y, McMahon SJ, Scarpelli M, Paganetti H, Schuemann J (2014) Comparing gold nano-particle enhanced radiotherapy with protons, megavoltage photons and kilovoltage photons: a Monte Carlo simulation. Phys Med Biol 59:7675–7689
Lin Y, McMahon SJ, Paganetti H, Schuemann J (2015) Biological modeling of gold nanoparticle enhanced radiotherapy for proton therapy. Phys Med Biol 60:4149–4168
Martinez-Rovira I, Prezado Y (2015) Evaluation of the local dose enhancement in the combination of proton therapy and nanoparticles. Med Phys 42:6703–6710
Krämer M, Kraft G (1994) Calculations of heavy-ion track structure. Radiat Environ Biophys 33:91–109
Perl J, Shin J, Schümann J, Faddegon B, Paganetti H (2012) TOPAS: an innovative proton Monte Carlo platform for research and clinical applications. Med Phys 39:6818–6837
GEANT4, LEEPWG–Low Energy Electromagnetic Physics Working Group (2013). http://geant4.in2p3.fr/2013/resources/L11-EMLowE.pdf
Kreibig U, Vollmer M (1995) Optical properties of metal clusters. Springer, Berlin-Heidelberg
Dinh PM, Reinhard P-G, Suraud E (2013) An introduction to cluster science. Wiley, 2013
Bréchignac C, Cahuzac Ph, Carlier F, Leygnier J (1989) Collective excitation in closed-shell potassium cluster ions. Chem Phys Lett 164:433–437
Selby K, Vollmer M, Masui J, Kresin V, de Heer WA, Knight WD (1989) Surface plasma resonances in free metal clusters. Phys Rev B 40:5417–5427
Hertel IV, Steger H, de Vries J, Weisser B, Menzel C, Kamke B, Kamke W (1992) Giant plasmon excitation in free C\(_{60}\) and C\(_{70}\) molecules studied by photoionization. Phys Rev Lett 68:784–787
Ling Y, Lifshitz C (1996) Plasmon excitation in polycyclic aromatic hydrocarbons studied by photoionization. Chem Phys Lett 257:587–591
Liebsch T et al (1995) Angle-resolved photoelectron spectroscopy of C\(_{60}\). Phys Rev A 52:457–464
Liebsch T et al (1996) Photoelectron spectroscopy of free fullerenes. J Electron Spectrosc Relat Phenom 79:419–422
Gerchikov LG, Connerade JP, Solov’yov AV, Greiner W (1997) Scattering of electrons on metal clusters and fullerenes. J Phys B: At Mol Opt Phys 30:4133–4161
Gerchikov LG, Ipatov AN, Solov’yov AV (1997) Many-body treatment of electron inelastic scattering on metal clusters. J Phys B: At Mol Opt Phys 30:5939–5959
Gerchikov LG, Ipatov AN, Solov’yov AV, Greiner W (1998) Excitation of multipole plasmon resonances in clusters by fast electron impact. J Phys B: At Mol Opt Phys 31:3065–3077
Gerchikov LG, Efimov PV, Mikoushkin VM, Solov’yov AV (1998) Diffraction of fast electrons on the fullerene C\(_{60}\) molecule. Phys Rev Lett 81:2707–2710
Gerchikov LG, Ipatov AN, Polozkov RG, Solov’yov AV (2000) Surface and volume plasmon excitation in electron inelastic scattering on metal clusters. Phys Rev A 62:043201
Verkhovtsev AV, Korol AV, Solov’yov AV, Bolognesi P, Ruocco A, Avaldi L (2012) Interplay of the volume and surface plasmons in the electron energy loss spectra of C\(_{60}\). J Phys B: At Mol Opt Phys 45:141002
Bolognesi P, Avaldi L, Ruocco A, Verkhovtsev A, Korol AV, Solov’yov AV (2012) Collective excitations in the electron energy loss spectra of C\(_{60}\). Eur Phys J D 66:254
Connerade J-P, Solov’yov AV (2002) Formalism for multiphoton plasmon excitation in jellium clusters. Phys Rev A 66:013207
Ivanov VK, Kashenock GYu, Polozkov RG, Solov’yov AV (2001) Photoionization cross sections of the fullerenes C\(_{20}\) and C\(_{60}\) calculated in a simple spherical model. J Phys B: At Mol Opt Phys 34:L669–L677
Verkhovtsev AV, Korol AV, Solov’yov AV (2013) Quantum and classical features of the photoionization spectrum of C\(_{60}\). Phys Rev A 88:043201
Landau LD, Lifshitz EM (1976) Quantum Mechanics: non-relativistic theory. 3rd edn. Course of Theoretical Physics, vol. 3. Butterworth-Heinemann
de Heer WA (1993) The physics of simple metal clusters: experimental aspects and simple models. Rev Mod Phys 65:611–676
Brack M (1993) The physics of simple metal clusters: self-consistent jellium model and semiclassical approaches. Rev Mod Phys 65:677–732
Bréchignac C, Connerade JP (1994) Giant resonances in free atoms and in clusters. J Phys B: At Mol Opt Phys 27:3795–3828
Haberland H (ed) (1994) Clusters of atoms and molecules, theory, experiment and clusters of atoms. Springer Series in Chemical Physics, vol. 52. Springer, Berlin, Heidelberg, New York
Korol AV, Solov’yov AV (1997) Polarizational bremsstrahlung of electrons in collisions with atoms and clusters. J Phys B: At Mol Opt Phys 30:1105–1150
Alasia F, Broglia RA, Roman HE, Serra L, Colo G, Pacheco JM (1994) Single-particle and collective degrees of freedom in C\(_{60}\). J Phys B: At Mol Opt Phys 27:L643–L650
Madjet M, Guet C, Johnson WR (1995) Comparative study of exchange-correlation effects on the electronic and optical properties of alkali-metal clusters. Phys Rev A 51:1327–1339
Campbell EE, Rohmund F (2000) Fullerene reactions. Rep Prog Phys 63:1061–1109
Berkowitz J (1999) Sum rules and the photoabsorption cross sections of C\(_{60}\). J Chem Phys 111:1446–1453
Reinköster A, Korica S, Viefhaus J, Godenhusen K, Schwarzkopf O, Mast M, Becker U (2004) The photoionization and fragmentation of C\(_{60}\) in the energy range 26–130 eV. J Phys B: At Mol Opt Phys 37:2135–2144
Scully SWJ et al (2005) Photoexcitation of a volume plasmon in C\(_{60}\) ions. Phys Rev Lett 94:065503
Baral KK et al (2016) Photoionization and photofragmentation of the C\(_{60}^+\) molecular ion. Phys Rev A 93:033401
Solov’yov AV (2005) Plasmon excitations in metal clusters and fullerenes. Int J Mod Phys B 19:4143–4184
Verkhovtsev AV, Korol AV, Solov’yov AV (2012) Formalism of collective excitations in fullerenes. Eur Phys J D 66:253
Varshalovich DA, Moskalev AN, Khersonskii VK (1988) Quantum theory of angular momentum. World Scientific Publishing, Singapore
Verkhovtsev AV, Korol AV, Solov’yov AV (2015) Revealing the mechanism of the low-energy electron yield enhancement from sensitizing nanoparticles. Phys Rev Lett 114:063401
Verkhovtsev AV, Korol AV, Solov’yov AV (2015) Electron production by sensitizing gold nanoparticles irradiated by fast ions. J Phys Chem C 119:11000–11013
Verkhovtsev A, McKinnon S, de Vera P, Surdutovich E, Guatelli S, Korol AV, Rosenfeld A, Solov’yov AV (2015) Comparative analysis of the secondary electron yield from carbon nanoparticles and pure water medium. Eur Phys J D 69:116
Connerade J-P, Solov’yov AV (1996) Radiative electron capture by metallic clusters. J Phys B: At Mol Opt Phys 29:365–375
Gerchikov LG, Ipatov AN, Solov’yov AV (1998) Many-body treatment of the photon emission process in electron-clusters collisions. J Phys B: At Mol Opt Phys 31:2331–2341
Korol AV, Solov’yov AV (2014) Polarization Bremsstrahlung, Springer Series on Atomic, Optical, and Plasma Physics, vol 80. Springer, Berlin Heidelberg
Kubo R (1962) Electronic properties of metallic fine particles. I. J Phys Soc Jpn 17:975–986
Lushnikov AA, Simonov AJ (1974) Surface plasmons in small metal particles. Z Phys 270:17–24
Yannouleas C, Broglia RA (1992) Landau damping and wall dissipationin large metal clusters. Ann Phys 217:105–141
Yannouleas C (1998) Microscopic description of the surface dipole plasmon in large Na\(_N\) clusters \((950 \le N \le 12050)\). Phys Rev B 58:6748–6751
Bertsch GF, Bulgac A, Tomanek D, Wang Y (1992) Collective plasmon excitations in C\(_{60}\) clusters. Phys Rev Lett 67:2690–2693
Lushnikov AA, Simonov AJ (1975) Excitation of surface plasmons in metal particles by fast electrons and x rays. Z Phys B 21:357–362
Ipatov AN, Ivanov VK, Agap’ev BD, Eckardt W (1998) Exchange and polarization effects in elastic electron scattering by metallic clusters. J Phys B: At Mol Opt Phys 31:925–934
Descourt P, Farine M, Guet C (2000) Many-body approach of electron elastic scattering on sodium clusters. J Phys B: At Mol Opt Phys 33:4565–4574
Lezius M, Scheier P, Märk TD (1993) Free electron attachment to C\(_{60}\) and C\(_{70}\). Chem Phys Lett 203:232–236
Huang J, Carman HS Jr, Compton RN (1995) Low-energy electron attachment to C\(_{60}\). J Phys Chem 99:1719–1726
Elhamidi O, Pommier J, Abouaf R (1997) Low-energy electron attachment to fullerenes C\(_{60}\) and C\(_{70}\) in the gas phase. J Phys B: At Mol Opt Phys 30:4633–4642
Ptasinska S et al (2006) Electron attachment to higher fullerenes and to Sc\(_3\)N@C\(_{80}\). J Phys Chem A 110:8451–8456
Kasperovich V, Tikhonov G, Wong K, Brockhaus P, Kresin V (1999) Polarization forces in collisions between low-energy electrons and sodium clusters. Phys Rev A 60:3071–3075
Kresin V, Guet C (1999) Long-range polarization interactions of metal clusters. Philos Mag B 79:1401–1411
Sentürk S, Connerade JP, Burgess DD, Mason NJ (2000) Enhanced electron capture by metallic clusters. J Phys B: At Mol Opt Phys 33:2763–2774
Rabinovitch R, Xia C, Kresin VV (2008) Evaporative attachment of slow electrons to alkali-metal nanoclusters. Phys Rev A 77:063202
Rabinovitch R, Hansen K, Kresin VV (2011) Slow electron attachment as a probe of cluster evaporation processes. J Phys Chem A 115:6961–6972
Connerade JP, Solov’yov AV (1996) Giant resonances in photon emission spectra of metal clusters. J Phys B: At Mol Opt Phys 29:3529–3547
Ipatov A, Connerade J-P, Gerchikov LG, Solov’yov AV (1998) Electron attachement to metallic clusters. J Phys B: At Mol Opt Phys 31:L27–L34
Connerade J-P, Gerchikov LG, Ipatov AN, Solov’yov AV (1999) Polarization effects in electron attachement to metallic clusters. J Phys B: At Mol Opt Phys 32:877–894
Hervieux P-A, Madjet ME, Benali H (2002) Capture of low-energy electrons by simple closed-shell metal clusters. Phys Rev A 65:023202
Massey HSW (1979) Atomic and molecular collisions. Taylor and Francis, London
Gerchikov LG, Solov’yov AV (1997) Photon emission in electron-cluster collision in the vicinity of plasmon resonance. Z Phys D 42:279–287
Amusia MYa, Korol AV (1994) On the continuous spectrum electromagnetic radiation in electron-fullerene collisions. Phys Lett A 186:230–234
Gerchikov LG, Ipatov AN, Solov’yov AV, Greiner W (2000) Non-adiabatic electron-ion coupling in dynamical jellium model for metal clusters. J Phys B: At Mol Opt Phys 33:4905–4926
Chernysheva LV, Gribakin GF, Ivanov VK, Kuchiev MYu (1988) Many-body calculation of negative ions using the Dyson equation. J Phys B: At Mol Opt Phys 21:L419–L425
Ellert Ch, Schmidt M, Schmitt M, Reiners Th, Haberland H (1995) Temperature dependence of the optical response of small, open shell sodium clusters. Phys Rev Lett 75:1731–1734
Gerchikov LG, Solov’yov AV, Greiner W (1999) Dynamical jellium model for metallic clusters. Int J Mod Phys E 8:289–298
Pacheco JM, Broglia RA (1989) Effect of surface fluctuations in the line shape of plasma resonances in small metal clusters. Phys Rev Lett 62:1400–1402
Bertsch GF, Tomanek D (1989) Thermal line broadening in small metal clusters. Phys Rev B 40:2749–2751
Penzar Z, Ekardt W, Rubio A (1990) Temperature effects on the optical absorption of jellium clusters. Phys Rev B 42:5040–5045
Montag B, Reinhard P-G, Meyer J (1994) The structure-averaged jellium model for metal clusters. Z Phys D 32:125–136
Montag B, Reinhard PG (1995) Width of the plasmon resonance in metal clusters. Phys Rev B 51:14686–14692
Lyalin AG, Semenov SK, Cherepkov NA, Solov’yov AV, Greiner W (2000) Hartree-Fock deformed jellium model for metal clusters. J Phys B: At Mol Opt Phys 33:3653–3664
Ekardt W (1985) Collective multipole excitations in small metal particles: critical angular momentum \(l^{\rm cr}\) for the existence of collective surface modes. Phys Rev B 32:1961–1970
Guet C, Johnson WR (1992) Dipole excitations of closed-shell alkali-metal clusters. Phys Rev B 45:11283–11287
Kharchenko VA, Ivanov VK, Ipatov AN, Zhizhin ML (1994) Size dependence of electronic structure and adiabatic type of collective vibration in small metal clusters. Phys Rev A 50:1459–1464
Wang Y, Lewenkopf C, Tomanek D, Bertsch G, Saito S (1993) Collective electronic excitations and their damping in small alkali clusters. Chem Phys Lett 205:521–528
Pacheco JM, Schöne W-D (1997) Shape phase transitions in the absorption spectra of atomic clusters. Phys Rev Lett 79:4986–4989
Runge E, Gross EKU (1984) Density-functional theory for time-dependent systems. Phys Rev Lett 52:997–1000
Henke BL, Gullikson EM, Davis JC (1993) X-ray interactions: photoabsorption, scattering, transmission, and reflection at \(E = 50-30,000\) eV, \(Z = 1-92\). At Data Nucl Data Tables 54:181–342
de Vera P, Garcia-Molina R, Abril I, Solov’yov AV (2013) Semiempirical model for the ion impact ionization of complex biological media. Phys Rev Lett 110:148104
LaVerne J (1989) Radical and molecular yields in the radiolysis of water with carbon ions. Radiat Phys Chem 34:135–143
Yuan HK, Chen H, Tian CL, Kuang AL, Wang JZ (2014) Density functional calculations for structural, electronic, and magnetic properties of gadolinium-oxide clusters. J Chem Phys 140:154308
SchĂĽler M, Berakdar J, Pavlyukh Y (2015) Disentangling multipole contributions to collective excitations in fullerenes. Phys Rev A 92:021403(R)
Biswas S, Tribedi LC (2015) Plasmon-mediated electron emission from the coronene molecule under fast ion impact. Phys Rev A 92:060701(R)
Acknowledgements
We acknowledge the financial support received from the European Union Seventh Framework Programme (PEOPLE-2013-ITN-ARGENT project) under grant agreement no. 608163.
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Verkhovtsev, A., Korol, A.V., Solov’yov, A.V. (2017). Irradiation-Induced Processes with Atomic Clusters and Nanoparticles. In: Solov’yov, A. (eds) Nanoscale Insights into Ion-Beam Cancer Therapy. Springer, Cham. https://doi.org/10.1007/978-3-319-43030-0_7
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