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                                                       Microchemical Journal 88 (2008) 113 – 120
                                                                                                                          www.elsevier.com/locate/microc




A chemometric approach to the historical and geographical characterisation
                     of different terracotta finds
                                     F. Bellanti ⁎, M. Tomassetti, G. Visco, L. Campanella
                                                   Rome University, La Sapienza, Pl. Aldo Moro 5, Rome, Italy
                                                   Received 24 November 2007; accepted 26 November 2007
                                                              Available online 5 December 2007



Abstract

    The development of modern analytical instrumental techniques has allowed to solve a lot of problems concerning all kinds of disciplines, but
often we can obtain for the analysed samples very numerous data, obtained by means of analytical techniques. So the effort of the analysts is more
and more paid on the elaboration of a so high number of data. We can find a typical example in the classification and study of archaeological finds.
In the archaeometry, that is the application of scientific methods and analysis techniques to archaeological issues, one of the most important step is
the statistical elaboration of multivariate data obtained by physical and chemical analysis of ancients artefacts. This study was carried out on 20
different pottery samples coming from different periods. The 20 analysed terracotta finds come from 4 different archaeological sites, three Italian
and one Libyan. For the analysis we used ICP–AES, thermogravimetric (TG) and thermomechanical (TMA) techniques; the main technique used
to elaborate the data was the Principal Component Analysis (PCA). We already knew, approximately, the “burning age” of the finds and we had to
check if some eigenvector of Principal Components Analysis could fit with that age. Few milligrams of finds were used for ICP–AES, TGA and
TMA analysis obtaining, after a reduction, a matrix of 11 variables. The results show a good correlation between age and PC1.
© 2007 Elsevier B.V. All rights reserved.

Keywords: ICP; Pottery; Thermoanalysis; Chemometry




1. Introduction                                                                       Most of archaeometric literature is devoted to the study of
                                                                                  ancient potteries [1], characterized by chemical variables
   One of the most interesting application of chemometry is the                   (oxides, trace elements, e.g.). The most important purpose of
possibility to classify archaeological finds. For this kind of                    these studies is the determination of their historical and
samples, in fact, frequently the available results have a very                    geographic origin [2], to obtain information about the used
high number of chemical data from modern analytical                               materials, the manufacturing techniques, and the cultural and
instrumental techniques as for instance the Inductively Coupled                   commercial exchanges [3].
Plasma–Atomic Emission Spectrometry (ICP–AES) technique,                              In a large number of works reported in literature [6–8] the
so we need a tool that can help us to easily obtain from a data                   classification was conducted using several data provided by the
matrix the information able to classify the samples.                              ICP–AES spectroscopy; however it is frequently noted that
   In this work we show the results of the application of a                       sometimes ICP–AES data are not sufficient to correctly classify
multivariate analysis to the historical and geographical                          different pottery samples.
classifications of different terracotta finds, by means of the                        In this work too we tried to carry out a correct chemometric
elaboration of several instrumental chemical data obtained by                     classification of potteries [9] originating from different sites (20
different analytical techniques.                                                  terracotta finds from 4 different archaeological sites, three
                                                                                  Italian and one Libyan), first of all using only ICP–AES data.
                                                                                  As these data alone were evaluated not suitable for a correct
 ⁎ Corresponding author.                                                          classification of the samples, as shown in this work, we
   E-mail address: francesco.bellanti@poste.it (F. Bellanti).                     introduced in the data matrix used for the classification some
0026-265X/$ - see front matter © 2007 Elsevier B.V. All rights reserved.
doi:10.1016/j.microc.2007.11.019
114                                                F. Bellanti et al. / Microchemical Journal 88 (2008) 113–120


data from thermogravimetric (TG) and thermomechanical                                powder). To preserve the object an “expert sampling” method
(TMA) technique [10]. This allowed to provide a good                                 was used, looking for bulk material but in low historical
classification.                                                                      interest position.
                                                                                         All the samples, in the form of non homogeneous fragments,
2. Materials and methods                                                             were first carefully ground into homogeneous powder [11].
                                                                                         The experiments were carried out at a heating rate of 10 °C
   The potteries tested in the present research come from four                       min− 1 and under an air flow rate of 100 cm3 min− 1; the
different archaeological sites:                                                      terracotta materials were subjected to the thermogravimetric
                                                                                     analysis performed using a Du Pont 951 thermogravimetric
 - Archaeological dig on the Libyan Sahara Tadrart Acacus                            analyzer coupled to a Du Pont thermal analyst 2000 system
   massif known as the “Uan Telocat” shelter, (about 5000                            under the same atmosphere stream and the same heating rate
   B.C.): the finds are five potsherd, with impressed decoration                     conditions above reported.
   obtained using double-pointed comb-like instrument [4];                               The ICP–AES analysis was performed by a Jobin-Yvon JY
 - Civitella di Chieti dump: three finds are classified as                           70 Type III Inductively Coupled Plasma Emission Spectro-
   terracotta fragments from fictile statues belonging to the                        photometer (Horiba Jobin Yvon SAS, Longjumeau, France).
   pediment conventionally defined as “type A” and three from                        The solution of each sample to be analysed was obtained by
   pediment defined as “type B”; two other finds belong to the                       mixing 150 mg of the ground specimen with 1.0 g of lithium
   pediment statues at the same dump, although no attributed                         tetraborate in a graphite crucible and by heating in an oven to
   with certainty. All these finds are dating to 1st–2nd centuries                   1000 °C for 40 min after slow rising up to 700 °C. The obtained
   B.C. [5];                                                                         pearl was cooled and than dissolved in 250 ml of aqueous
 - Ariccia: three finds originating from different portions of a                     solution containing 4 ml of HNO3 (65% w/w) and 4 ml of HCl
   slightly less than life-size votive statue representing a                         (37% w/w %), stirring for 5 h. [12]. All reagents were ultra pure
   female figure seated on a throne and dated as 3th–2nd                             from Merck Gmbh.
   century B.C.;                                                                         The thermogravimetric analyses of the Ariccia fictile finds
 - Rome: four renaissance potsherds from the excavation of the                       were performed using a Mettler TG 50 thermobalance
   Rome chancery dating to the 15th–16th centuries.                                  connected to a TC 10 A microprocessor and a Swiss dot-
                                                                                     matrix printer (Mettler-Toledo GmbH, Greifensee, Swiss).
   All the samples were named following the information in                           The thermomechanical tests were performed on a Mettler
Table 1.                                                                             TMA 40 thermomechanical analyzer coupled to the TC 10 A
   The samples were obtained from the bulk material of the                           microprocessor and the printer above described. In this kind
ceramic object. To avoid surface contamination a very small                          of analysis the powdered samples were placed in cylindrical
point of the object was “cleaned” with a surgery scalpel. A                          alumina sample-holders (5 mm in diameter and 5 mm high)
slow battery electric drill was used to obtain about 600–                            equipped with an alumina piston capable of sliding inside the
800 mg of bulk (removing the first millimetres of obtained                           cylindrical sample holder and in close contact with the
                                                                                     levelled out surface of the sample. All the samples were
                                                                                     subjected to an isothermal (25 °C) recompaction process
Table 1                                                                              repeated three times [11,13]. This entailed applying a constant
History, provenience and classification of studied ancient pottery finds
                                                                                     load of 0.4 N for 10 min on the piston together with a
Samples                          Group                                     Mark      dynamic charge of 0.1 N (at a frequency of 5 cpm). At the
Rome Renaissance pottery 1       Rome Renaissance pottery (CeR)            CeR1      end of this treatment the sample was subjected to thermo-
Rome Renaissance pottery 2                                                 CeR2      dilatometric scanning between 25 °C and 1000 °C, in the
Rome Renaissance pottery 3                                                 CeR3
                                                                                     same cylinder as described, at a heating rate of 8 °C min− 1,
Rome Renaissance pottery 4                                                 CeR4
Rome Renaissance pottery 5                                                 CeR5      in static air conditions and with a constant applied load of
Acephalous statue 5601           Civitella di Chieti (TeC)                 5601      0.05 N.
Acephalous statue                                                          TestCol       The TMA plots thus obtained are very similar to those found
Fictile statue B 19990B          Civitella di Chieti (FrB)                 19990B    by Bayer and Wiedermann [14,15] using the same technique,
Fictile statue B 5597B                                                     5597B
                                                                                     although this time on pottery samples that had not previously
Fictile statue B 19974B                                                    19974B
Fictile statue A 5605A           Civitella di Chieti (FrA)                 5605A     been powdered. This supports the belief that the recompacting
Fictile statue A 19973A                                                    19973A    treatment described here and used by us was largely successful
Fictile statue A 5602A                                                     5602A     in achieving the stated aim.
Ariccia statue 1                 Ariccia (ArI)                             AR1           All the data were obtained by ICP–AES, TC and TMA
Ariccia statue 2                                                           AR2
                                                                                     analysis and elaborated by Lotus 123 v 9.8 (IBM Corporation,
Ariccia statue 5                                                           AR5
Libyan Sahara find A             Libyan Sahara (SaL)                       SLA       Armonk, USA) to make data matrix, the var-var charts, the
Libyan Sahara find B                                                       SLB       correlation matrix, and some data validation was obtained with
Libyan Sahara find C                                                       SLC       Winidams (Unesco) and by MVSP (Kovach Computing,
Libyan Sahara find D                                                       SLD       Anglesey, UK) to calculate Principal Components Analysis
Libyan Sahara find E                                                       SLE
                                                                                     (PCA) and charts design.
F. Bellanti et al. / Microchemical Journal 88 (2008) 113–120                                   115


3. Results and discussion                                                 the median value, that was then utilized to represent the sample
                                                                          [20].
   By ICP–AES analysis we determined, for each sample, the                    The large difference between the numeric values and the
content in ppm of the 16 main elements (Table 2). The result              different kinds of units of measure, corresponding to the values
concerning thermogravimetric data were exemplified collecting             obtained by different analytical methods (mg, ppm, °C, %…),
them, for each thermogram, in two steps:                                  needed a first treatment of the matrix, first of all for the values
                                                                          obtained by ICP–AES only and then of a second treatment for
 ▪ Step 1: between 200 °C and 600 °C, constituted by different            the whole matrix.
   sub-steps, where the loss of mass is given to different                    The series of 22 elements obtained by ICP–AES was
   contributions: decomposition of traces of organic matter and           reported in ppm. A first observation of these data showed that
   so called structural bonded water, i.e. small amount of water          some species were not present in all the samples, or, anyway,
   originating from the loss, under heating, of hydroxyl groups           were present with trace values, comparable to the LOD value of
   still present in some minerals (%A in Table 2)                         instrument. The ICP–AES data of these species, Be, Y, Ba, Sb,
 ▪ Step 2: between 600 °C and 750 °C, certainly due to the                Sn, were so eliminated from the matrix, obtaining 16 elements
   decomposition of carbonates (principally of Calcium)                   for 20 objects. In the group of the species that we removed the
   present in the samples (%B in Table 2)                                 most frequent was, anyway, the Sn, detected in only 8 samples,
                                                                          with values included between 3 and 81 ppm and the least
    Finally it was evaluated the value of residue too that, at            frequent was the Be, detected in only one sample, with a value
1000 °C, is principally constituted by metal oxides and silicates         of 0.3 ppm.
(%Res in Table 2).                                                            The thermogravimetric data, as above described, were
    In addition, the equivalent firing temperatures, estimated on         collected in two numeric values, corresponding to the mass
the basis of thermomechanical (TMA) curves [16] and, in                   percentages loss and to the data indicating the percentage
particular, the “shrinkage temperature” [17,18] obtained as well          residue at the end of the TG analysis.
as described by Tite [18], was insert in Table 2 (fT).                        Adding the equivalent firing temperatures obtained by TMA,
    One of the aims of a classification work is often to find             that is the temperatures corresponding to the original firing
suitable descriptors that allow an application in other similar           temperature, we obtained a 20 X 20 matrix (Table 2).
cases too.                                                                    In the matrix the Zn was the specie with a largest number of
    From this point of view it was therefore likely to consider           gaps (5). The values of the present species were enclosed
that in this research work the study, as the potteries were               between 10 and 95 ppm. In all, the whole matrix shows 15
originating from different sites and different periods, easily            absences of data.
allowed a good “separation” of the different samples belonging                The data fill was processed with a technique already used
to different archaeological sites and, therefore, an accurate             by us with success in other cases: it provides for the
selection of the variables, even if using simple chemometric              calculation of the lowest LOD value for the whole set of
methods.                                                                  elements (all originating from the same instrument) and the
    Naturally the 20 considered samples come from a more wide             following refilling of the gaps with random values between 1/3
set and they were selected on the basis of the certainty of               and 2/3 of the value before estimated. Alternatively, the data
geographical and hystorical origin.                                       fill can be carried out with the calculation of the LOD value
    It was used the most common analytical techniques also                for each column and the filling of the gaps with the same
utilized in the literature for the analysis of pottery finds: ICP–        method.
AES spectrometry, Thermogravimetric analysis, Thermome-                       That allowed to not eliminate rows and/or columns if the data
chanical analysis.                                                        fill concerned a small number of values, and to not insert zero
    X-ray diffractometric analysis [19] was also carried out for          values that, for similar object, were present in significant
the powders, but the corresponding data were found definitely             amount, so that very small values (but measurable) contributed
redundant, so they are not inserted in the Table 2.                       to the classification.
    Using the techniques above we obtained, for each sample, a                From this point of view, the “zero” value was assigned to the
matrix constituted by the content of the 22 chemical species by           elements “certainly not present” and not to the elements present
ICP–AES, by the value of equivalent firing temperature by                 with values of concentration lower than the limit of detection
TMA, and the percentage of loss on mass % for the first and               and it was able too to exert a role in the classification.
second step and by the percentage of residual at 1000 °C by                   At this point the obtained matrix (20 X 20) showed average
TGA.                                                                      values very different. The main components of ceramics Si, Al,
    For the multivariate analysis we selected the PCA, as it              Ca, Fe showed average values between 5 and 70%. The
allows a rapid visual monitoring of obtained results [9], an easy         intermediate components Mg, Ti, As showed values below 5%.
interpretation of new variables and also a study of the loadings,         The trace components Zn, Sr, Cu, Mn, Zr, Os, Cr, La, Pb
that is precisely one of the main target of the work.                     showed values lower than 1%.
    Each sample was split in three smaller fragments and each                 To allow to all the components of the matrix to reveal their
of them was independently analysed by the different                       discriminant power, the matrix was “studentised” (i.e. each
techniques. By three values so obtained each time we evaluated            value in column was subtracted from the arithmetic average,
116                                                F. Bellanti et al. / Microchemical Journal 88 (2008) 113–120


Table 2
The matrix used for multivariate analysis, after autoscaling
Sample         Group         Si              Al                Ca            Fe              Mg              Ti              As              Zn        Sr
CR1            CeR           − 0.9560          0.7119            0.8811        0.2267        − 0.8787          0.0643        − 0.1032        −1.2520   −0.5538
CR2            CeR           − 0.9453        − 0.2406            1.3208      − 0.2990          0.5838        − 0.7763        − 0.3226         0.5546    1.5174
CR3            CeR           − 0.7260        − 0.5385            1.3990      − 1.0926          0.1891        − 0.8514        − 0.2877        −0.0490    1.3654
CR4            CeR           − 1.7741          0.1661            2.0071        0.2183          0.7033        − 0.5260          0.5514         0.2403    3.0569
5601           TeC           − 0.6089        − 0.3867            0.8620        0.3295          0.6886        − 0.9352        − 0.2833         1.0483    0.2431
TestCol        TeC           − 0.7724        − 0.8574            1.3511      − 0.1681          1.2147        − 0.8431          0.6696        −0.5408   −0.5731
19990B         FrB           − 0.2396          0.0110            0.1285        0.2618          1.2770        − 0.6229        − 0.1886        −1.2552    0.2078
5597B          FrB           − 0.0847          0.0808          − 0.2277        1.0183          0.9035        − 0.1152          0.0697        −0.3339    0.0508
19974B         FrB           − 0.0395        − 0.1225            0.1000      − 0.1568          0.7236        − 0.8032          0.2019        −1.2552    0.0046
5605A          FrA             0.6949          0.9952          − 0.9391      − 1.6114        − 1.3867        − 0.7112          0.2343         1.8550   −1.2201
19973A         FrA           − 0.2365          1.9194          − 0.8246      − 0.0162          0.3594          0.7866        − 1.0118        −0.0003   −0.1132
5602A          FrA             0.2909          1.2388          − 0.8494      − 0.5440        − 0.8164          0.0508        − 0.3271         0.8069   −0.9641
AR1            ArI           − 0.6349          0.2738            0.2767        1.4718          0.8577        − 0.0417          1.3157        −1.2520    0.1350
AR2            ArI             0.0320          0.1104          − 0.4775        1.4809          0.8993          0.1498          1.1205        −1.2552    0.0090
AR5            ArI           − 0.9248          1.2125            0.0937        1.6440          0.7645          0.2479          2.7462        −0.9143    0.0379
SLA            SaL             1.3930        − 1.6197          − 0.9311        1.2864        − 1.4610          0.7168        − 1.0784         0.3401   −0.5280
SLB            SaL             1.2228        − 0.1912          − 1.1723      − 0.6279        − 1.4324          0.9745        − 0.5548         0.5300   −1.0649
SLC            SaL             1.4532        − 1.0839          − 1.0832      − 0.6998        − 1.1474          3.4498        − 1.2388         1.2350   −0.4453
SLD            SaL             0.7296          0.6096          − 0.9311      − 1.0840        − 1.0470          0.1752          0.2497        −0.0562   −0.6437
SLE            SaL             2.1264        − 2.2889          − 0.9842      − 1.6378        − 0.9950        − 0.3897        − 1.7627         1.5540   −0.5216



obtained only using values different from zero, and divided by                       matrix we can see all var-var correlation plots and look for linear
standard deviation of the sample).                                                   correlation (available also in many software only as text matrix).
    It was not omitted even the calculation and the representation                      In the figure we could see the hard correlation between the
of the matrix of correlation scatter plots, shown in Fig. 1. In this                 second % loss and the % residue for TG analysis (%B and RES




                       Fig. 1. Correlation among all the 20 variables, raw data. In the diagonal the form of the distribution of the variables.
F. Bellanti et al. / Microchemical Journal 88 (2008) 113–120                                      117




Cu           Mn           Zr            Os             Cr              La             Pb             firT            − %A       − %B       Res%
− 1.3598     − 1.0104       0.7882      −0.0512        −1.1023           1.8561         0.0007         0.7891          0.8967     0.6212     1.4226
− 0.6638     − 0.7385     − 0.7775      −0.1736        −0.2749           0.1618       − 0.0834         0.8732          1.0904   − 1.7028   − 1.8593
− 0.6671     − 0.8163     − 0.3023       1.9888        −0.9077           1.0261       − 0.5445         0.8900          1.0904     0.6956     1.4743
− 0.5038       1.0918     − 1.1586       1.3214        −0.2275           0.6795       − 0.5445         0.7386          1.0904     0.9187     0.7766
− 0.6168     − 1.2000     − 0.7541       0.4290        −0.9444           0.6319       − 0.5228         0.6208          1.0904   − 1.1166   − 0.1538
− 0.4607     − 0.8592     − 0.3973       0.7915        −0.2898         − 0.1237       − 0.4707         0.4189        − 0.3725   − 0.5602   − 0.5414
− 0.3774     − 1.2000     − 1.1512       0.4508         2.0089         − 0.0672       − 0.5228         0.5872          1.0904   − 0.1346   − 1.1099
  0.7169       2.0771     − 0.5057      −0.0775         1.3279         − 1.0533       − 0.1558         0.6040          1.0904   − 0.8458   − 0.5931
− 0.2466     − 1.1931     − 1.1512       0.4001        −0.9416           0.2498       − 0.4635         0.8227          1.0904   − 1.4826   − 1.2133
− 1.1598     − 0.7042     − 0.0544      −0.9620        −0.1705         − 0.6857         2.7161         0.7891        − 0.7504   − 1.0601   − 1.1099
  0.5635       1.0275       2.2029      −0.8526         0.7722         − 0.6539         2.6590         0.6881        − 0.5566   − 1.5659   − 1.3942
  0.0867     − 0.1589       1.3621      −0.8613         0.0393         − 0.7626         1.2412         0.7386        − 1.3317   − 0.3459   − 0.2571
  0.7375       0.9044       0.0012       0.6844         2.5824           1.1710       − 0.4695       − 0.1531        − 0.2660     0.0409     0.0788
  0.4164       1.1978     − 0.4408       1.4914        −1.0347           1.8619       − 0.4761       − 0.7588        − 1.3317     0.9931     0.6215
  1.3107       0.6824     − 0.0600       0.9438         0.3289           0.8726       − 0.4287         0.0320        − 1.5255     0.6658     0.5698
− 0.6254       1.1158     − 0.5952      −1.1245        −0.1294         − 1.0073       − 0.2824       − 1.4486        − 0.7698     0.9068   − 0.1796
  1.4370     − 0.7118       1.5704      −1.0353        −0.1939         − 1.0799       − 0.4982       − 1.5159          0.1603     0.9931     1.0350
  2.6611     − 0.0796       0.1694      −1.1073        −0.2301         − 1.0202       − 0.4002       − 1.1458        − 1.1379     0.9931     0.3631
− 0.2512       0.2684       1.6670      −1.1109        −0.7549         − 0.9663       − 0.4061       − 1.7346          0.3057     0.9931     1.1642
− 0.9977       0.3067     − 0.4129      −1.1453         0.1421         − 1.0905       − 0.3478       − 1.8356        − 0.9538     0.9931     0.9058



%) and for the selection of the variables we retained the first and           terracotta samples, near to the other values equal to 0.72 and
the second step.                                                              0.68. Unfortunately the autoscaling process emphasised the
   We also focalised the attention on the content of Mg, which                differences and the objects were retained.
contributed to the separation between two groups of the values,                   A first calculation, using all the variables, showed values of
therefore Mg was another possible candidate for variable                      variance equal to 34.4%, 51.4% and 61.2% for the first three
discharge.                                                                    components.
   The content of Ti showed an outlier in this graphs (the shown                  The study of the loading highlighted vectors with similar
values were autoscaled).                                                      direction and size, allowing the elimination of “Mg” and “R%”,
   Looking for the raw data we found a value equal to 1. 1% for               already above described, and of the species “Cr” and “Al”
the Ti species in the case of the sample C of prehistoric Libyan              because of their small contribution to the first two components.




                           Fig. 2. Scores chart, after autoscaling. 40.7% and 22.7% of variance. Data linked by provenience.
118                                             F. Bellanti et al. / Microchemical Journal 88 (2008) 113–120


Table 3                                                                          the Fe, it was observed that the two samples AR2 and AR (II–III
Eigenvalues computed on autoscaled data using 11 variables                       century A.D.) presented the highest amount of it (maximum
Number of    Eigenvalues    Retain.   Cum. retain.   RSS     Press   Press/      values of PC2) and the sample 5605A (I century) the lowest
PCs                         var. %    var. %                         RSS         amount.
#1           4.5            40.7      40.7           123.9   142.5   1.2            The graphical representation highlighted moreover that the
#2           2.5            22.7      63.4            76.4   106.0   1.4         two samples defined as unknown, but with the same style of
#3           1.5            13.2      76.7            48.7    76.7   1.6
                                                                                 “frontonal” finds (I–II century A.D.), showed values of PC1
#4           0.9             7.8      84.5            32.4    62.5   1.9
#5           0.7             6.1      90.6            19.7    41.8   2.1         and PC2 suggesting a composition similar to the group
#6           0.4             3.4      94.0            12.5    31.0   2.5         “frontonale B”. PC1 vs PC3 chart showed similarly the two
                                                                                 unknown objects “near” the two “frontonal B” (1990b and
                                                                                 19974b).
    By means of a further selection we lastly retained the species                  It was clear that at least one of them (“testa colossale”) could
Si, Ca and Fe, as “major chemical elements”, Ti as low value                     not belonging to “frontonale B” because of their large different
chemical elements and Zn, Cu, La, Pb as traces, with estimated                   sizes; however its chemical and firing characteristics were very
equivalent firing temperature and the first and second thermo-                   similar to those of the finds belonging to the “frontone” B.
gravimetric step.                                                                   Having at this point a series of variables originating from the
    Using these 11 variables the 20 objects were well separated                  three analytical techniques, which showed a high discriminant
in the only two PC (with cumulative variance PC1 = 40.7,                         power with a high selectivity, that is a pattern able to provide a
PC2 = 63.4, PC3 = 76.7, PC4 = 84.5%). In Fig. 2 it is shown the                  good separation of the groups, it was possible to study other
projection over the first two components and in Table 3 the                      analytical points.
obtained values.                                                                    As it was possible to find works where the clustering was
    Looking for the data and groups we found the PC1 as “time                    obtained starting from the data coming from a single analytical
axis”, that is the first component linked to the dating of the                   technique, by means of this data set it was possible to try to
sample, therefore with the more ancient finds of Libyan                          analyse the results coming by a single method.
samples, with low values of PC1 and the renaissance ceramics,                       In Fig. 3 it is shown the result obtained for the first two PC
with high values of PC1, proceeding through the roman period                     (with a variance PC1 = 38.7%, PC2 = 56.3%, PC3 = 69.2%
finds Single inversion of the time axis was present by the three                 respectively) using all the 16 elements. It is noticeable a
fictile statues belonging to the pediment, defined as “type A”,                  “separation”, but the selectivity is partial and, practically, only
probably with different origin.                                                  the Ariccia ceramics constitute a separate group, confusing also
    The PC2 looked linked with the presence of minor                             the time scale.
components and, in particular, with the species Pb, Zn, and                         Alternatively we tried to using only the values of elements
Fe, that worked as “separators” within the groups; concerning                    before selected. The values of the 8 species provided a best




                        Fig. 3. Scores chart, after autoscaling, using all the 16 elements measured by ICP. Variance 38.7% and 17.7%.
F. Bellanti et al. / Microchemical Journal 88 (2008) 113–120                                                         119




        Fig. 4. Scores chart, after autoscaling, using only the 8 elements (measured by ICP) obtained with variables selection. Variance 45.1% and 25.3%.


classification (see Fig. 4), but, anyway, worse than that obtained                        and of the TMA combined with other analytical methods for the
with the variables belonging from the three analytical                                    studies of pottery finds.
techniques, even if showing values similar for the variance                                  The Fig. 5 shows the loading of 11 variables selected and it
explained by the first three components (PC1 = 45.1%,                                     highlights how the third quadrant was filled only by the first
PC2 = 70.4%, PC3 = 81.2%).                                                                percentage of loss of mass and by the equivalent firing
   With only two variables, belonging from TG, combined with                              temperature, providing a high contribute to the classification.
the equivalent firing temperature, we obtained a high dis-                                   The figure also shows the application of the variables
criminant power. This fact suggested the application of the TG                            selecting method, often using by us: we retain the variables that




Fig. 5. Loading chart, autoscaling, all shown but only the circle blue variable are retained after variables selection. (For interpretation of the references to colour in this
figure legend, the reader is referred to the web version of this article.)
120                                                   F. Bellanti et al. / Microchemical Journal 88 (2008) 113–120


provide the greater contribute to the axes on which we want to                                  di Chieti: il frontone delle muse, on Deliciae Fictiles III. Architectural
work; if we choose, for example, the plane PC1/PC2 we try to                                    Terracottas in Ancient Italy: New Discoveries and Interpretations, in: G.
                                                                                                Greco, J. Kenfield, Edlund-Berry (Eds.), Proc. of the International
retain the loadings that show the greater value for PC1 or PC2,                                 Conference Held at the American Academy in Rome, 7-8/11/2002, 2006.
leaving out the loadings with the values close to zero. In figure                         [6]   E. Marengo, M. Aceto, E. Robotti, M.C. Liparota, M. Bobba, G. Pantò,
the green square points show variables not used for PCA                                         Archaeometric characterisation of ancient pottery belonging to the
calculation.                                                                                    archaeological site of Novalesa Abbey (Piedmont, Italy) by ICP–MS
                                                                                                and spectroscopic techniques coupled to multivariate statistical tools, Anal.
                                                                                                Chim. Acta 537 (1-2) (2005) 359–375.
4. Conclusions                                                                            [7]   D.N. Papadopoulou, G.A. Zachariadis, A.N. Anthemidis, N.C. Tsirliganis,
                                                                                                J.A. Stratis, Microwave-assisted versus conventional decomposition
    The use of three analytical instrumental methods, the first                                 procedures applied to a ceramic potsherd standard reference material by
(ICP–AES) that determined the percentage content of chemical                                    inductively coupled plasma atomic emission spectrometry, Anal. Chim.
species mainly present or present in traces, a second that was                                  Acta 505 (1) (2004) 173–181.
                                                                                          [8]   C. Rathossi, P. Tsolis Katagas, C. Katagas, Technology and composition of
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was able to evaluate the two main losses of mass and the                                        (3-4) (2004) 313–326.
residual mass at 1000 °C, allowed a good separation in the space                          [9]   RQ-mode principal components analysis of ceramic compositional data,
of the first principal components. An accurate selection of the                                 Archaeometry 36 (1994) 115–130.
variables improved the selectivity and highlighted the con-                              [10]   A. Moropoulou, A. Bakolas, K. Bisbikou, Thermal analysis as a method of
                                                                                                characterizing ancient ceramic technologies, Thermochim. Acta 269-270
tribute of the TG in the analysis of pottery.                                                   (1995) 743–753.
    The good result obtained attests also the use of a mix of data                       [11]   M. Tomassetti, L. Campanella, P. Flamini, G. Bandini, Thermal analysis of
corresponding to the species present as components: principal,                                  fictile votive statues of 3rd century B.C. Thermochim. Acta 291 (1-2)
minor, or in traces, as good descriptor of the objects. With                                    (1997) 117–130.
regard to it our group is studying the same kind of research                             [12]   H. Neff, M.D. Glascock, R.L. Bishop, M.J. Blackman, An assessment of
                                                                                                the acid-extraction approach to compositional characterization of archae-
based on similar approach, that shows how this strategy is                                      ological ceramics, Am. Antiq. 61 (2) (1996) 389–404.
useful in the classification of other kind of finds too, such as                         [13]   L. Campanella, G. Favero, P. Flamini, M. Tomassetti, Prehistoric
marbles and ancient glasswares.                                                                 terracottas from the libyan tadrart acacus, J. Therm. Anal. Calorim. 73
                                                                                                (1) (2003) 127–142.
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                                                                                         [15]   G. Bayer, H.G. Wiedemann, Thermoanalytical measurements in archaeo-
 [1] G. Olcese, La produzione ceramica ad "Albintimilium" (Liguria) in epoca                    metry, Thermochim. Acta 69 (1-2) (1983) 167–173.
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Analisi ceramiche

  • 1. Available online at www.sciencedirect.com Microchemical Journal 88 (2008) 113 – 120 www.elsevier.com/locate/microc A chemometric approach to the historical and geographical characterisation of different terracotta finds F. Bellanti ⁎, M. Tomassetti, G. Visco, L. Campanella Rome University, La Sapienza, Pl. Aldo Moro 5, Rome, Italy Received 24 November 2007; accepted 26 November 2007 Available online 5 December 2007 Abstract The development of modern analytical instrumental techniques has allowed to solve a lot of problems concerning all kinds of disciplines, but often we can obtain for the analysed samples very numerous data, obtained by means of analytical techniques. So the effort of the analysts is more and more paid on the elaboration of a so high number of data. We can find a typical example in the classification and study of archaeological finds. In the archaeometry, that is the application of scientific methods and analysis techniques to archaeological issues, one of the most important step is the statistical elaboration of multivariate data obtained by physical and chemical analysis of ancients artefacts. This study was carried out on 20 different pottery samples coming from different periods. The 20 analysed terracotta finds come from 4 different archaeological sites, three Italian and one Libyan. For the analysis we used ICP–AES, thermogravimetric (TG) and thermomechanical (TMA) techniques; the main technique used to elaborate the data was the Principal Component Analysis (PCA). We already knew, approximately, the “burning age” of the finds and we had to check if some eigenvector of Principal Components Analysis could fit with that age. Few milligrams of finds were used for ICP–AES, TGA and TMA analysis obtaining, after a reduction, a matrix of 11 variables. The results show a good correlation between age and PC1. © 2007 Elsevier B.V. All rights reserved. Keywords: ICP; Pottery; Thermoanalysis; Chemometry 1. Introduction Most of archaeometric literature is devoted to the study of ancient potteries [1], characterized by chemical variables One of the most interesting application of chemometry is the (oxides, trace elements, e.g.). The most important purpose of possibility to classify archaeological finds. For this kind of these studies is the determination of their historical and samples, in fact, frequently the available results have a very geographic origin [2], to obtain information about the used high number of chemical data from modern analytical materials, the manufacturing techniques, and the cultural and instrumental techniques as for instance the Inductively Coupled commercial exchanges [3]. Plasma–Atomic Emission Spectrometry (ICP–AES) technique, In a large number of works reported in literature [6–8] the so we need a tool that can help us to easily obtain from a data classification was conducted using several data provided by the matrix the information able to classify the samples. ICP–AES spectroscopy; however it is frequently noted that In this work we show the results of the application of a sometimes ICP–AES data are not sufficient to correctly classify multivariate analysis to the historical and geographical different pottery samples. classifications of different terracotta finds, by means of the In this work too we tried to carry out a correct chemometric elaboration of several instrumental chemical data obtained by classification of potteries [9] originating from different sites (20 different analytical techniques. terracotta finds from 4 different archaeological sites, three Italian and one Libyan), first of all using only ICP–AES data. As these data alone were evaluated not suitable for a correct ⁎ Corresponding author. classification of the samples, as shown in this work, we E-mail address: francesco.bellanti@poste.it (F. Bellanti). introduced in the data matrix used for the classification some 0026-265X/$ - see front matter © 2007 Elsevier B.V. All rights reserved. doi:10.1016/j.microc.2007.11.019
  • 2. 114 F. Bellanti et al. / Microchemical Journal 88 (2008) 113–120 data from thermogravimetric (TG) and thermomechanical powder). To preserve the object an “expert sampling” method (TMA) technique [10]. This allowed to provide a good was used, looking for bulk material but in low historical classification. interest position. All the samples, in the form of non homogeneous fragments, 2. Materials and methods were first carefully ground into homogeneous powder [11]. The experiments were carried out at a heating rate of 10 °C The potteries tested in the present research come from four min− 1 and under an air flow rate of 100 cm3 min− 1; the different archaeological sites: terracotta materials were subjected to the thermogravimetric analysis performed using a Du Pont 951 thermogravimetric - Archaeological dig on the Libyan Sahara Tadrart Acacus analyzer coupled to a Du Pont thermal analyst 2000 system massif known as the “Uan Telocat” shelter, (about 5000 under the same atmosphere stream and the same heating rate B.C.): the finds are five potsherd, with impressed decoration conditions above reported. obtained using double-pointed comb-like instrument [4]; The ICP–AES analysis was performed by a Jobin-Yvon JY - Civitella di Chieti dump: three finds are classified as 70 Type III Inductively Coupled Plasma Emission Spectro- terracotta fragments from fictile statues belonging to the photometer (Horiba Jobin Yvon SAS, Longjumeau, France). pediment conventionally defined as “type A” and three from The solution of each sample to be analysed was obtained by pediment defined as “type B”; two other finds belong to the mixing 150 mg of the ground specimen with 1.0 g of lithium pediment statues at the same dump, although no attributed tetraborate in a graphite crucible and by heating in an oven to with certainty. All these finds are dating to 1st–2nd centuries 1000 °C for 40 min after slow rising up to 700 °C. The obtained B.C. [5]; pearl was cooled and than dissolved in 250 ml of aqueous - Ariccia: three finds originating from different portions of a solution containing 4 ml of HNO3 (65% w/w) and 4 ml of HCl slightly less than life-size votive statue representing a (37% w/w %), stirring for 5 h. [12]. All reagents were ultra pure female figure seated on a throne and dated as 3th–2nd from Merck Gmbh. century B.C.; The thermogravimetric analyses of the Ariccia fictile finds - Rome: four renaissance potsherds from the excavation of the were performed using a Mettler TG 50 thermobalance Rome chancery dating to the 15th–16th centuries. connected to a TC 10 A microprocessor and a Swiss dot- matrix printer (Mettler-Toledo GmbH, Greifensee, Swiss). All the samples were named following the information in The thermomechanical tests were performed on a Mettler Table 1. TMA 40 thermomechanical analyzer coupled to the TC 10 A The samples were obtained from the bulk material of the microprocessor and the printer above described. In this kind ceramic object. To avoid surface contamination a very small of analysis the powdered samples were placed in cylindrical point of the object was “cleaned” with a surgery scalpel. A alumina sample-holders (5 mm in diameter and 5 mm high) slow battery electric drill was used to obtain about 600– equipped with an alumina piston capable of sliding inside the 800 mg of bulk (removing the first millimetres of obtained cylindrical sample holder and in close contact with the levelled out surface of the sample. All the samples were subjected to an isothermal (25 °C) recompaction process Table 1 repeated three times [11,13]. This entailed applying a constant History, provenience and classification of studied ancient pottery finds load of 0.4 N for 10 min on the piston together with a Samples Group Mark dynamic charge of 0.1 N (at a frequency of 5 cpm). At the Rome Renaissance pottery 1 Rome Renaissance pottery (CeR) CeR1 end of this treatment the sample was subjected to thermo- Rome Renaissance pottery 2 CeR2 dilatometric scanning between 25 °C and 1000 °C, in the Rome Renaissance pottery 3 CeR3 same cylinder as described, at a heating rate of 8 °C min− 1, Rome Renaissance pottery 4 CeR4 Rome Renaissance pottery 5 CeR5 in static air conditions and with a constant applied load of Acephalous statue 5601 Civitella di Chieti (TeC) 5601 0.05 N. Acephalous statue TestCol The TMA plots thus obtained are very similar to those found Fictile statue B 19990B Civitella di Chieti (FrB) 19990B by Bayer and Wiedermann [14,15] using the same technique, Fictile statue B 5597B 5597B although this time on pottery samples that had not previously Fictile statue B 19974B 19974B Fictile statue A 5605A Civitella di Chieti (FrA) 5605A been powdered. This supports the belief that the recompacting Fictile statue A 19973A 19973A treatment described here and used by us was largely successful Fictile statue A 5602A 5602A in achieving the stated aim. Ariccia statue 1 Ariccia (ArI) AR1 All the data were obtained by ICP–AES, TC and TMA Ariccia statue 2 AR2 analysis and elaborated by Lotus 123 v 9.8 (IBM Corporation, Ariccia statue 5 AR5 Libyan Sahara find A Libyan Sahara (SaL) SLA Armonk, USA) to make data matrix, the var-var charts, the Libyan Sahara find B SLB correlation matrix, and some data validation was obtained with Libyan Sahara find C SLC Winidams (Unesco) and by MVSP (Kovach Computing, Libyan Sahara find D SLD Anglesey, UK) to calculate Principal Components Analysis Libyan Sahara find E SLE (PCA) and charts design.
  • 3. F. Bellanti et al. / Microchemical Journal 88 (2008) 113–120 115 3. Results and discussion the median value, that was then utilized to represent the sample [20]. By ICP–AES analysis we determined, for each sample, the The large difference between the numeric values and the content in ppm of the 16 main elements (Table 2). The result different kinds of units of measure, corresponding to the values concerning thermogravimetric data were exemplified collecting obtained by different analytical methods (mg, ppm, °C, %…), them, for each thermogram, in two steps: needed a first treatment of the matrix, first of all for the values obtained by ICP–AES only and then of a second treatment for ▪ Step 1: between 200 °C and 600 °C, constituted by different the whole matrix. sub-steps, where the loss of mass is given to different The series of 22 elements obtained by ICP–AES was contributions: decomposition of traces of organic matter and reported in ppm. A first observation of these data showed that so called structural bonded water, i.e. small amount of water some species were not present in all the samples, or, anyway, originating from the loss, under heating, of hydroxyl groups were present with trace values, comparable to the LOD value of still present in some minerals (%A in Table 2) instrument. The ICP–AES data of these species, Be, Y, Ba, Sb, ▪ Step 2: between 600 °C and 750 °C, certainly due to the Sn, were so eliminated from the matrix, obtaining 16 elements decomposition of carbonates (principally of Calcium) for 20 objects. In the group of the species that we removed the present in the samples (%B in Table 2) most frequent was, anyway, the Sn, detected in only 8 samples, with values included between 3 and 81 ppm and the least Finally it was evaluated the value of residue too that, at frequent was the Be, detected in only one sample, with a value 1000 °C, is principally constituted by metal oxides and silicates of 0.3 ppm. (%Res in Table 2). The thermogravimetric data, as above described, were In addition, the equivalent firing temperatures, estimated on collected in two numeric values, corresponding to the mass the basis of thermomechanical (TMA) curves [16] and, in percentages loss and to the data indicating the percentage particular, the “shrinkage temperature” [17,18] obtained as well residue at the end of the TG analysis. as described by Tite [18], was insert in Table 2 (fT). Adding the equivalent firing temperatures obtained by TMA, One of the aims of a classification work is often to find that is the temperatures corresponding to the original firing suitable descriptors that allow an application in other similar temperature, we obtained a 20 X 20 matrix (Table 2). cases too. In the matrix the Zn was the specie with a largest number of From this point of view it was therefore likely to consider gaps (5). The values of the present species were enclosed that in this research work the study, as the potteries were between 10 and 95 ppm. In all, the whole matrix shows 15 originating from different sites and different periods, easily absences of data. allowed a good “separation” of the different samples belonging The data fill was processed with a technique already used to different archaeological sites and, therefore, an accurate by us with success in other cases: it provides for the selection of the variables, even if using simple chemometric calculation of the lowest LOD value for the whole set of methods. elements (all originating from the same instrument) and the Naturally the 20 considered samples come from a more wide following refilling of the gaps with random values between 1/3 set and they were selected on the basis of the certainty of and 2/3 of the value before estimated. Alternatively, the data geographical and hystorical origin. fill can be carried out with the calculation of the LOD value It was used the most common analytical techniques also for each column and the filling of the gaps with the same utilized in the literature for the analysis of pottery finds: ICP– method. AES spectrometry, Thermogravimetric analysis, Thermome- That allowed to not eliminate rows and/or columns if the data chanical analysis. fill concerned a small number of values, and to not insert zero X-ray diffractometric analysis [19] was also carried out for values that, for similar object, were present in significant the powders, but the corresponding data were found definitely amount, so that very small values (but measurable) contributed redundant, so they are not inserted in the Table 2. to the classification. Using the techniques above we obtained, for each sample, a From this point of view, the “zero” value was assigned to the matrix constituted by the content of the 22 chemical species by elements “certainly not present” and not to the elements present ICP–AES, by the value of equivalent firing temperature by with values of concentration lower than the limit of detection TMA, and the percentage of loss on mass % for the first and and it was able too to exert a role in the classification. second step and by the percentage of residual at 1000 °C by At this point the obtained matrix (20 X 20) showed average TGA. values very different. The main components of ceramics Si, Al, For the multivariate analysis we selected the PCA, as it Ca, Fe showed average values between 5 and 70%. The allows a rapid visual monitoring of obtained results [9], an easy intermediate components Mg, Ti, As showed values below 5%. interpretation of new variables and also a study of the loadings, The trace components Zn, Sr, Cu, Mn, Zr, Os, Cr, La, Pb that is precisely one of the main target of the work. showed values lower than 1%. Each sample was split in three smaller fragments and each To allow to all the components of the matrix to reveal their of them was independently analysed by the different discriminant power, the matrix was “studentised” (i.e. each techniques. By three values so obtained each time we evaluated value in column was subtracted from the arithmetic average,
  • 4. 116 F. Bellanti et al. / Microchemical Journal 88 (2008) 113–120 Table 2 The matrix used for multivariate analysis, after autoscaling Sample Group Si Al Ca Fe Mg Ti As Zn Sr CR1 CeR − 0.9560 0.7119 0.8811 0.2267 − 0.8787 0.0643 − 0.1032 −1.2520 −0.5538 CR2 CeR − 0.9453 − 0.2406 1.3208 − 0.2990 0.5838 − 0.7763 − 0.3226 0.5546 1.5174 CR3 CeR − 0.7260 − 0.5385 1.3990 − 1.0926 0.1891 − 0.8514 − 0.2877 −0.0490 1.3654 CR4 CeR − 1.7741 0.1661 2.0071 0.2183 0.7033 − 0.5260 0.5514 0.2403 3.0569 5601 TeC − 0.6089 − 0.3867 0.8620 0.3295 0.6886 − 0.9352 − 0.2833 1.0483 0.2431 TestCol TeC − 0.7724 − 0.8574 1.3511 − 0.1681 1.2147 − 0.8431 0.6696 −0.5408 −0.5731 19990B FrB − 0.2396 0.0110 0.1285 0.2618 1.2770 − 0.6229 − 0.1886 −1.2552 0.2078 5597B FrB − 0.0847 0.0808 − 0.2277 1.0183 0.9035 − 0.1152 0.0697 −0.3339 0.0508 19974B FrB − 0.0395 − 0.1225 0.1000 − 0.1568 0.7236 − 0.8032 0.2019 −1.2552 0.0046 5605A FrA 0.6949 0.9952 − 0.9391 − 1.6114 − 1.3867 − 0.7112 0.2343 1.8550 −1.2201 19973A FrA − 0.2365 1.9194 − 0.8246 − 0.0162 0.3594 0.7866 − 1.0118 −0.0003 −0.1132 5602A FrA 0.2909 1.2388 − 0.8494 − 0.5440 − 0.8164 0.0508 − 0.3271 0.8069 −0.9641 AR1 ArI − 0.6349 0.2738 0.2767 1.4718 0.8577 − 0.0417 1.3157 −1.2520 0.1350 AR2 ArI 0.0320 0.1104 − 0.4775 1.4809 0.8993 0.1498 1.1205 −1.2552 0.0090 AR5 ArI − 0.9248 1.2125 0.0937 1.6440 0.7645 0.2479 2.7462 −0.9143 0.0379 SLA SaL 1.3930 − 1.6197 − 0.9311 1.2864 − 1.4610 0.7168 − 1.0784 0.3401 −0.5280 SLB SaL 1.2228 − 0.1912 − 1.1723 − 0.6279 − 1.4324 0.9745 − 0.5548 0.5300 −1.0649 SLC SaL 1.4532 − 1.0839 − 1.0832 − 0.6998 − 1.1474 3.4498 − 1.2388 1.2350 −0.4453 SLD SaL 0.7296 0.6096 − 0.9311 − 1.0840 − 1.0470 0.1752 0.2497 −0.0562 −0.6437 SLE SaL 2.1264 − 2.2889 − 0.9842 − 1.6378 − 0.9950 − 0.3897 − 1.7627 1.5540 −0.5216 obtained only using values different from zero, and divided by matrix we can see all var-var correlation plots and look for linear standard deviation of the sample). correlation (available also in many software only as text matrix). It was not omitted even the calculation and the representation In the figure we could see the hard correlation between the of the matrix of correlation scatter plots, shown in Fig. 1. In this second % loss and the % residue for TG analysis (%B and RES Fig. 1. Correlation among all the 20 variables, raw data. In the diagonal the form of the distribution of the variables.
  • 5. F. Bellanti et al. / Microchemical Journal 88 (2008) 113–120 117 Cu Mn Zr Os Cr La Pb firT − %A − %B Res% − 1.3598 − 1.0104 0.7882 −0.0512 −1.1023 1.8561 0.0007 0.7891 0.8967 0.6212 1.4226 − 0.6638 − 0.7385 − 0.7775 −0.1736 −0.2749 0.1618 − 0.0834 0.8732 1.0904 − 1.7028 − 1.8593 − 0.6671 − 0.8163 − 0.3023 1.9888 −0.9077 1.0261 − 0.5445 0.8900 1.0904 0.6956 1.4743 − 0.5038 1.0918 − 1.1586 1.3214 −0.2275 0.6795 − 0.5445 0.7386 1.0904 0.9187 0.7766 − 0.6168 − 1.2000 − 0.7541 0.4290 −0.9444 0.6319 − 0.5228 0.6208 1.0904 − 1.1166 − 0.1538 − 0.4607 − 0.8592 − 0.3973 0.7915 −0.2898 − 0.1237 − 0.4707 0.4189 − 0.3725 − 0.5602 − 0.5414 − 0.3774 − 1.2000 − 1.1512 0.4508 2.0089 − 0.0672 − 0.5228 0.5872 1.0904 − 0.1346 − 1.1099 0.7169 2.0771 − 0.5057 −0.0775 1.3279 − 1.0533 − 0.1558 0.6040 1.0904 − 0.8458 − 0.5931 − 0.2466 − 1.1931 − 1.1512 0.4001 −0.9416 0.2498 − 0.4635 0.8227 1.0904 − 1.4826 − 1.2133 − 1.1598 − 0.7042 − 0.0544 −0.9620 −0.1705 − 0.6857 2.7161 0.7891 − 0.7504 − 1.0601 − 1.1099 0.5635 1.0275 2.2029 −0.8526 0.7722 − 0.6539 2.6590 0.6881 − 0.5566 − 1.5659 − 1.3942 0.0867 − 0.1589 1.3621 −0.8613 0.0393 − 0.7626 1.2412 0.7386 − 1.3317 − 0.3459 − 0.2571 0.7375 0.9044 0.0012 0.6844 2.5824 1.1710 − 0.4695 − 0.1531 − 0.2660 0.0409 0.0788 0.4164 1.1978 − 0.4408 1.4914 −1.0347 1.8619 − 0.4761 − 0.7588 − 1.3317 0.9931 0.6215 1.3107 0.6824 − 0.0600 0.9438 0.3289 0.8726 − 0.4287 0.0320 − 1.5255 0.6658 0.5698 − 0.6254 1.1158 − 0.5952 −1.1245 −0.1294 − 1.0073 − 0.2824 − 1.4486 − 0.7698 0.9068 − 0.1796 1.4370 − 0.7118 1.5704 −1.0353 −0.1939 − 1.0799 − 0.4982 − 1.5159 0.1603 0.9931 1.0350 2.6611 − 0.0796 0.1694 −1.1073 −0.2301 − 1.0202 − 0.4002 − 1.1458 − 1.1379 0.9931 0.3631 − 0.2512 0.2684 1.6670 −1.1109 −0.7549 − 0.9663 − 0.4061 − 1.7346 0.3057 0.9931 1.1642 − 0.9977 0.3067 − 0.4129 −1.1453 0.1421 − 1.0905 − 0.3478 − 1.8356 − 0.9538 0.9931 0.9058 %) and for the selection of the variables we retained the first and terracotta samples, near to the other values equal to 0.72 and the second step. 0.68. Unfortunately the autoscaling process emphasised the We also focalised the attention on the content of Mg, which differences and the objects were retained. contributed to the separation between two groups of the values, A first calculation, using all the variables, showed values of therefore Mg was another possible candidate for variable variance equal to 34.4%, 51.4% and 61.2% for the first three discharge. components. The content of Ti showed an outlier in this graphs (the shown The study of the loading highlighted vectors with similar values were autoscaled). direction and size, allowing the elimination of “Mg” and “R%”, Looking for the raw data we found a value equal to 1. 1% for already above described, and of the species “Cr” and “Al” the Ti species in the case of the sample C of prehistoric Libyan because of their small contribution to the first two components. Fig. 2. Scores chart, after autoscaling. 40.7% and 22.7% of variance. Data linked by provenience.
  • 6. 118 F. Bellanti et al. / Microchemical Journal 88 (2008) 113–120 Table 3 the Fe, it was observed that the two samples AR2 and AR (II–III Eigenvalues computed on autoscaled data using 11 variables century A.D.) presented the highest amount of it (maximum Number of Eigenvalues Retain. Cum. retain. RSS Press Press/ values of PC2) and the sample 5605A (I century) the lowest PCs var. % var. % RSS amount. #1 4.5 40.7 40.7 123.9 142.5 1.2 The graphical representation highlighted moreover that the #2 2.5 22.7 63.4 76.4 106.0 1.4 two samples defined as unknown, but with the same style of #3 1.5 13.2 76.7 48.7 76.7 1.6 “frontonal” finds (I–II century A.D.), showed values of PC1 #4 0.9 7.8 84.5 32.4 62.5 1.9 #5 0.7 6.1 90.6 19.7 41.8 2.1 and PC2 suggesting a composition similar to the group #6 0.4 3.4 94.0 12.5 31.0 2.5 “frontonale B”. PC1 vs PC3 chart showed similarly the two unknown objects “near” the two “frontonal B” (1990b and 19974b). By means of a further selection we lastly retained the species It was clear that at least one of them (“testa colossale”) could Si, Ca and Fe, as “major chemical elements”, Ti as low value not belonging to “frontonale B” because of their large different chemical elements and Zn, Cu, La, Pb as traces, with estimated sizes; however its chemical and firing characteristics were very equivalent firing temperature and the first and second thermo- similar to those of the finds belonging to the “frontone” B. gravimetric step. Having at this point a series of variables originating from the Using these 11 variables the 20 objects were well separated three analytical techniques, which showed a high discriminant in the only two PC (with cumulative variance PC1 = 40.7, power with a high selectivity, that is a pattern able to provide a PC2 = 63.4, PC3 = 76.7, PC4 = 84.5%). In Fig. 2 it is shown the good separation of the groups, it was possible to study other projection over the first two components and in Table 3 the analytical points. obtained values. As it was possible to find works where the clustering was Looking for the data and groups we found the PC1 as “time obtained starting from the data coming from a single analytical axis”, that is the first component linked to the dating of the technique, by means of this data set it was possible to try to sample, therefore with the more ancient finds of Libyan analyse the results coming by a single method. samples, with low values of PC1 and the renaissance ceramics, In Fig. 3 it is shown the result obtained for the first two PC with high values of PC1, proceeding through the roman period (with a variance PC1 = 38.7%, PC2 = 56.3%, PC3 = 69.2% finds Single inversion of the time axis was present by the three respectively) using all the 16 elements. It is noticeable a fictile statues belonging to the pediment, defined as “type A”, “separation”, but the selectivity is partial and, practically, only probably with different origin. the Ariccia ceramics constitute a separate group, confusing also The PC2 looked linked with the presence of minor the time scale. components and, in particular, with the species Pb, Zn, and Alternatively we tried to using only the values of elements Fe, that worked as “separators” within the groups; concerning before selected. The values of the 8 species provided a best Fig. 3. Scores chart, after autoscaling, using all the 16 elements measured by ICP. Variance 38.7% and 17.7%.
  • 7. F. Bellanti et al. / Microchemical Journal 88 (2008) 113–120 119 Fig. 4. Scores chart, after autoscaling, using only the 8 elements (measured by ICP) obtained with variables selection. Variance 45.1% and 25.3%. classification (see Fig. 4), but, anyway, worse than that obtained and of the TMA combined with other analytical methods for the with the variables belonging from the three analytical studies of pottery finds. techniques, even if showing values similar for the variance The Fig. 5 shows the loading of 11 variables selected and it explained by the first three components (PC1 = 45.1%, highlights how the third quadrant was filled only by the first PC2 = 70.4%, PC3 = 81.2%). percentage of loss of mass and by the equivalent firing With only two variables, belonging from TG, combined with temperature, providing a high contribute to the classification. the equivalent firing temperature, we obtained a high dis- The figure also shows the application of the variables criminant power. This fact suggested the application of the TG selecting method, often using by us: we retain the variables that Fig. 5. Loading chart, autoscaling, all shown but only the circle blue variable are retained after variables selection. (For interpretation of the references to colour in this figure legend, the reader is referred to the web version of this article.)
  • 8. 120 F. Bellanti et al. / Microchemical Journal 88 (2008) 113–120 provide the greater contribute to the axes on which we want to di Chieti: il frontone delle muse, on Deliciae Fictiles III. Architectural work; if we choose, for example, the plane PC1/PC2 we try to Terracottas in Ancient Italy: New Discoveries and Interpretations, in: G. Greco, J. Kenfield, Edlund-Berry (Eds.), Proc. of the International retain the loadings that show the greater value for PC1 or PC2, Conference Held at the American Academy in Rome, 7-8/11/2002, 2006. leaving out the loadings with the values close to zero. In figure [6] E. Marengo, M. Aceto, E. Robotti, M.C. Liparota, M. Bobba, G. Pantò, the green square points show variables not used for PCA Archaeometric characterisation of ancient pottery belonging to the calculation. archaeological site of Novalesa Abbey (Piedmont, Italy) by ICP–MS and spectroscopic techniques coupled to multivariate statistical tools, Anal. Chim. 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