Analytical and experimental position stability of the abutment in different dental implant systems with a conical implant–abutment connection

Position stability of the abutment should be investigated in four implant systems with a conical implant–abutment connection. Previously developed formulas and an established experimental setup were used to determine the position stability of the abutment in the four implant systems with a conical implant–abutment connection and different positional index designs: The theoretical rotational freedom was calculated by using the dimensions of one randomly selected implant per system for approximated geometric models. Experimentally, the rotation, the vertical displacement, and canting moments of the abutment after multiple repositioning and hand tightening of the abutment screw were investigated. The experimental rotation and vertical displacement differed between the implant systems tested. The analytical and experimental results for the rotation of the abutment clearly deviated in the three implant systems. Malpositioning of the abutment was possible in all the implant systems tested. Deviating theoretical and experimental results suggest high manufacturing tolerances during fabrication of the implant components. Position stability of the abutment is essential for precisely fitting implant-supported superstructures.


Introduction
Mechanical complications still exist in implant dentistry including fractures or mobility of the superstructure and the abutment screw [1,2]. These complications have a multifactorial etiology [3][4][5]. Current studies indicate that position stability of the implant-abutment connection (IAC) is a decisive factor for prosthesis misfit [6,7] and mechanical complications [8]. Position stability of the implantabutment connection is essential, since multiple repositioning of the implant components is necessary during fabrication of the superstructure by the dental technician and the dentist [9,10].
Rotational position stability of IACs with different positional index designs has been investigated [11][12][13][14][15][16]. The results indicate that the rotational freedom of different positional indices of the second and third generation is similar to that of hexagonal indices of the first generation [16]. Theoretical calculations show that the position stability depends on the geometric design of the index and the manufacturing tolerances [14,15].
In the present study, position stability of the abutment in various implant systems with a conical implant-abutment connection was examined in vitro, and its rotational freedom was theoretically calculated. Working hypotheses were that the theoretical optimal result for the rotational freedom of the index corresponds to the findings of the experiment and that the experimental results do not differ between the implant systems tested.

Materials and methods
The position stability of different implant systems with a conical implant-abutment connection was investigated: Nobel Active (S1), Bone Level (S2), Ankylos C/X (S3), and Conelog (S4) ( Table 1, Fig. 1). Seven implants and rotation-safe abutments of each implant system were purchased regularly. To allow comparability of the results, implants with similar diameters were ordered (Table 1).

Calculation of the rotational freedom of the abutment
The measured dimensions of the positional index of one randomly selected implant and abutment per system (Table 1) [15] were used to calculate the maximum rotational freedom of the positional index designs by utilizing previously developed closed-form formulas for approximated geometric models [14,15]. The clearance between implant and abutment was set at 20 μm according to the previous investigation [15].

Experimental setup
An established experimental setup [16] was used. The six implants of each system were fixated in prefabricated stainless steel models that were manufactured to imitate a clinical situation. The implants were fixated in angulations of 0°(implants 1 and 6), 5°(implants 2 and 5), and 15°(implants 3 and 4).

Experiment
The experiment was performed as described with the exception that two test persons having different implantological skills dis-and reassembled the implant-abutment test body complexes 20 times each by hand tightening the screw [16]. The test persons were specified as Pe1 (0person with implantological skills) and Pe2 (0person without implantological skills).

Statistical analysis
The mean and standard deviation of the experimental values were calculated. Since the mean and median were skewed, the median and quartiles were used for the analysis. The maximum bidirectional displacement was expressed by the maximum range of deviation (most positive value+most negative value).
A two-factorial nonparametric analysis for repeated measurements [22] was used to analyze the influence of the implant system and the test person on the outcomes. The implant system was set as a whole-plot factor and the test person as a split-plot factor.
Statistical analysis was performed using SPSS 17.0 (SPSS Inc., Chicago, IL, USA) and SAS 9.1 (SAS Institute Inc., Cary, NC, USA). A P value <0.05 was considered statistically significant.

Theoretical calculation
Rotation of the abutment Hexagonal positional index design Using the formula for polygonal positional index designs, a rotational freedom of 3.1°results for S1 (Table 2).
Cam-groove design The maximum rotational freedom of the systems having a cam-groove connection design was calculated using a universal equation. A theoretical rotational freedom of 1.7°results for S2, of 2.6°for S3, and of 2.1°f or S4 (Table 2).

Discussion
The results of the present study show that repositioning of the abutment in all the four implant systems with an internal conical implant-abutment connection varies. The analytical maximum rotational freedom based on equal clearance values (manufacturing tolerance) varies (1.7°-2.6°) in the cam-groove group (S2-S4); this is due to the geometric variation of R and δ. Cam-groove butt joint connections with a greater R show less rotational freedom [15]. This can be related to the limited sizing inside the implant when the index is placed more apical in conical connections in contrast to the sizing of the index in butt joint connections. As described previously, polygonal antirotational indices show higher rotational freedom than camgroove connections due to the unfavorable features of their geometric design.
When analyzing the experimental rotational displacement of the abutment, significant differences between the implant systems were observed: The measured values of the Conelog system were significantly different to all other systems tested whereas Nobel Active, Bone Level, and Ankylos C/X showed similar values. Comparing the results to the Fig. 1 Abutments showing the positional index designs. a S1: Nobel Active. Conical implantabutment connection with a cone angle of 12°and an internal hexagonal positional index. b S2: Bone Level. Conical implant-abutment connection with a cone angle of 15°and cams and grooves. c S3: Ankylos C/X. Conical implant-abutment connection with a cone angle of 5.7°and six cams and grooves. d S4: Conelog. Conical implantabutment connection with a cone angle of 7.5°and three cams and grooves outcome of a previous experimental study, the maximum rotational displacement of Nobel Active (hexagon) in the experiment is higher than the results for polygonal indices [16] and hexagonal indices in other studies [12,13,23]. Internal hexagonal indices such as Nobel Active show less rotational position stability than external indices again due to their smaller sizing (radius of index from rotational axis) [12,16]. The investigated cam-groove connection designs show an increased rotational displacement in comparison to the Camlog system of the previous study [16] with Bone Level and Ankylos C/X clearly deviating.
In 1996, Binon declared that a possible rotational movement of the abutment of less than 5°assures screw joint stability of the implant-abutment complex in systems with an external hexagonal connection [11]. Further guidelines were not found. The Conelog system meets this standard; the Bone Level system barely meets this requirement. The two other implant systems (Nobel Active and Ankylos C/X) showed higher rotation values. Whether these findings compromise the stability of the conical screw joint needs to be determined; they definitely influence the fit of the superstructure [6], and a passive fit cannot be achieved.
The analytical approach of the present study aimed to show the rotational freedom of different geometric designs under idealized conditions, while the experimental part shows the possible reproducibility of the abutment position after physical repositioning. The experimental rotational freedom of the implant systems does not reflect the possible rotational freedom from the left to the right horizontal stop; if this was simulated, it would probably lead to higher rotational  values. Shape irregularities (e.g., flattening of the vertices in polygons) may also influence the outcome.
Manufacturing tolerances during fabrication of the implant components have a major influence on the rotational freedom in all index designs [14,15]. Relating the theoretical findings to the experimental results shows that the rotational freedom of Nobel Active, Bone Level, and Ankylos C/X is approximately twice as large as calculated by the analytical approach. This suggests high manufacturing tolerances irrespective of the geometric design of the index. For the Conelog system, high-precision manufacturing can be assumed as the theoretical and experimental results were similar. Canting moments of the abutment were not different between the four implant systems. They were of minimal extent as observed in the previous study [16].
Investigating the vertical displacement of the abutment after multiple repositioning and hand tightening resulted in significant differences between the systems, with Nobel Active and Conelog showing a different behavior from Bone Level and Ankylos C/X. Although the median values were similar, the maximum range of values clearly deviated. Nobel Active and Conelog displayed a higher vertical displacement of the abutment comparable to the systems with a conical connection design (Straumann Tissue Level and Astra Tech) from a former study [15]. For Bone Level and Ankylos C/X, a reduced vertical displacement of the abutment was observed. Still, their extent of vertical displacement is higher than in butt joint connections [16,24,25]. A vertical displacement is natural in conical connections and essential for a friction fit. The vertical position of the abutment is not only influenced by the cone angle, as the systems with the most acute (Ankylos C/X) and most obtuse (Bone Level) angle show comparable results. Other factors including the manufacturing tolerances (Semper et al., unpublished observation) and the torque value applied [21] may be of importance for the present results. The present approach is based on hand tightening of the screw, as suggested by the manufacturers until definitive seating of the abutment. Investigations showed that there is a wide variability of torque values when the abutment screw is manually tightened [26,27]. Achieving predictable and repeatable torque values using hand tightening seems to be impossible. Therefore, the vertical position of the abutment in conical implant-abutment connections can vary between repeated screw tightening. Further studies should be performed using a torque wrench to investigate the final positioning of the abutment.

Conclusion
Malpositioning of the abutment was possible in all systems with a conical implant-abutment connection tested. The experimental rotational freedom and the vertical displacement of the abutment differed between the implant systems. In three implant systems, the theoretical rotational freedom clearly deviated from the experimental results suggesting high manufacturing tolerances diminishing position stability of the abutment.