Hao Yin1,2, Jie Lu3, Guijian Liu1, Zhiyuan Niu1, Xiangping Zha1, Dun Wu1, Airong Feng2, Yanyun Hu2. 1. CAS Key Laboratory of Crust-Mantle Materials and the Environments, School of Earth and Space Sciences, University of Science and Technology of China, Hefei 230026, China. 2. Mass Spectrometry Lab, Hefei National Laboratory for Physical Sciences at Microscale, University of Science and Technology of China, Hefei 230026, China. 3. National High Magnetic Field Laboratory, Florida State University, 1800 East Paul Dirac Drive, Tallahassee, Florida 32310-4005, United States.
Abstract
Investigations on the molecular composition of coal pyrolysis products can help us to improve nonfuel utilization of coal. Meanwhile, the molecular composition of coal pyrolysis products is also influenced by the characteristics and depositional environment of coal. However, due to the extremely complex nature of coal, direct investigation of the molecular composition of coal pyrolysis products is still a challenge. In the present work, the data of the molecular composition of bituminous coal pyrolysis products are obtained by online pyrolysis coupled to comprehensive two-dimensional gas chromatography and mass spectrometry (online py-GC×GC-MS) and are divided into nine molecular groups depending on the aromaticity of the pyrolysis products and separating power of the GC×GC-MS. Chemometric tools, hierarchical cluster analysis, and principal component analysis are employed to reveal the correlations among the molecular composition of coal pyrolysis products and coal characteristics. The results show that the nine molecular groups of bituminous coal pyrolysis products can be divided into two clusters, the "aromatic group" and the "aliphatic group", and that the eight coals are divided into three clusters, all of which can be interpreted by the depositional environments and δ13CVPDB values of coals. Moreover, a simple and empirical equation for estimation of coal tar from hydropyrolysis can be obtained depending on the chemometric results of the molecular composition of the coal pyrolysis products. By application of chemometrics, the molecular composition of coal pyrolysis products can provide preference to industrial utilization of coal.
Investigations on the molecular composition of coal pyrolysis products can help us to improve nonfuel utilization of coal. Meanwhile, the molecular composition of coal pyrolysis products is also influenced by the characteristics and depositional environment of coal. However, due to the extremely complex nature of coal, direct investigation of the molecular composition of coal pyrolysis products is still a challenge. In the present work, the data of the molecular composition of bituminous coal pyrolysis products are obtained by online pyrolysis coupled to comprehensive two-dimensional gas chromatography and mass spectrometry (online py-GC×GC-MS) and are divided into nine molecular groups depending on the aromaticity of the pyrolysis products and separating power of the GC×GC-MS. Chemometric tools, hierarchical cluster analysis, and principal component analysis are employed to reveal the correlations among the molecular composition of coal pyrolysis products and coal characteristics. The results show that the nine molecular groups of bituminous coal pyrolysis products can be divided into two clusters, the "aromatic group" and the "aliphatic group", and that the eight coals are divided into three clusters, all of which can be interpreted by the depositional environments and δ13CVPDB values of coals. Moreover, a simple and empirical equation for estimation of coal tar from hydropyrolysis can be obtained depending on the chemometric results of the molecular composition of the coal pyrolysis products. By application of chemometrics, the molecular composition of coal pyrolysis products can provide preference to industrial utilization of coal.
It is generally accepted that coal is
one of the nonrenewable energy
sources, which also leads to catastrophic global warming.[1−3] Nonfuel utilization of coal for
producing chemicals and materials is a better use of coal.[4,5] A current prospect for the chemical industry suggests that it would
be prudent to rethink of coal as a source of aromatic chemicals instead
of petroleum because coal has a higher level of condensed aromatic
composition than petroleum.[6−9] Thus, a quantitative description
of the molecular composition of coal pyrolysis products would be necessary
for producing chemicals and controlling the particulate matter of
air pollutants.[10−14] In addition,
the molecular composition of pyrolysis products can be helpful in
describing the occurrence and characteristics of coals.“Mass
spectrometry (MS)” is a method for determining the detailed
molecular composition of coal pyrolysis products.[15] Furthermore, time-of-flight mass spectrometry (TOFMS) coupled
with comprehensive two-dimensional gas chromatography (GC×GC)
can also provide a powerful tool for separation and identification
of molecular components.[16−24] Koolen et al.[25] analyzed some coal tar samples and observed
approximately 250 peaks by GC–MS compared to 6,600 compounds
by GC×GC-TOFMS and more than 14,000 mass spectral peaks by Fourier
transform ion cyclotron resonance mass spectrometry (FT-ICR MS), which
indicates the prospect of using GC×GC-TOFMS for identification
of coal molecular composition.Due to the complexity of coal
pyrolysis products, thousands of compounds could be observed by GC×GC-TOFMS.
Chemometrics, including hierarchical cluster analysis (HCA) and principal
component analysis (PCA),[26,27] have been employed to
determine the relationship between different coals and other various
conditions based on the coal properties, proximate and ultimate analyses,
trace elements based on ash composition, kinetics of coal pyrolysis,
CO, , benzene, cresols, and long-chain aliphatic compounds.[28−34] Li et al. and Yu et al.[35,36] identified
the molecular composition of coal extraction products with FT-ICR
MS and Orbitrap MS and obtained in-depth statistical results for seven
classes (CH, O, N, S, ON, OS, and NS) by HCA and PCA. However, correlations
among the molecular composition of coal pyrolysis products, coal characteristics,
and reaction conditions of coal hydropyrolysis have seldom been examined.In the present work, the pyrolysis products of eight bituminous
coals from different strata of the same coal mine and three reference
coals were in situ analyzed by GC×GC-TOFMS coupled with an online
pyrolysis furnace (online py-GC×GC–MS). The correlations
among the molecular composition of coal pyrolysis products, coal characteristics,
and reaction conditions of coal hydropyrolysis were revealed by applying
chemometric treatments—HCA and PCA. The results can help us
to estimate coal tar produced by coal hydropyrolysis.
Results and Discussion
General
Characteristics of Coals
Based on the carbon content,
coals can be classified into four major types or ranks according to
the U.S. Department of Energy: anthracite (carbon content 86–97%),
bituminous coal (45–86%), subbituminous coal (35–45%),
and lignite (25–35%). In the present work, all eight coals
from the Xieqiao coal mine belong to the bituminous coal category
(Table ). BC belongs
to the bituminous coal category, and AC and NC belong to the anthracite
category.
Table 1
Proximate and Ultimate Analyses, O/C
and H/C Ratios,
and Values of δ13CVPDB of 11 Coal Samplesa
ultimate analysis (wt %)
proximate analysis (wt %)
Cdaf
Hdaf
Ndaf
Odaf
Sdaf
O/C
H/C
Mad
Vdaf
Aad
F-Cad
δ13CVPDB (‰)
XQ4
84.68
5.53
1.49
7.51
0.79
0.070
0.78
1.77
36.78
8.05
53.4
–23.23
XQ5
84.99
6.09
1.31
6.7
0.91
0.063
0.86
1.29
41.61
9.48
47.62
–23.33
XQ6
84.81
5.69
1.37
7.29
0.84
0.066
0.81
1.64
38.90
9.00
50.46
–22.97
XQ7_1
84.69
5.80
1.16
7.69
0.66
0.071
0.82
1.63
38.23
9.51
50.63
–22.95
XQ7_2
84.83
5.58
1.40
7.77
0.42
0.069
0.79
1.87
35.94
8.12
54.07
–22.94
XQ8
84.64
5.71
0.73
8.09
0.36
0.072
0.81
1.75
37.79
18.11
52.15
–23.11
XQ11_2
84.47
5.56
1.45
7.55
0.97
0.071
0.79
1.68
35.23
8.56
54.53
–23.91
XQ13_1
84.62
5.76
1.44
7.21
0.37
0.064
0.82
1.57
41.77
20.24
45.45
–23.54
BC
82.21
6.19
1.21
9.91
0.48
0.091
0.91
1.26
24.64
14.51
59.59
AC
88.11
4.01
1.33
5.99
0.56
0.051
0.54
2.31
11.78
13.14
72.77
NC
92.86
1.31
1.07
4.53
0.23
0.036
0.16
5.73
4.75
6.94
82.58
daf: dry ash free; ad: air dried.
daf: dry ash free; ad: air dried.The atomic ratios of O/C and H/C of the eight coals
from the Xieqiao coal mine are between BC and AC (Figure a). The area ratios of toluene
to benzene (T/B) and xylene to benzene (X/B) for the 11 coals are
illustrated in Figure b, which are calculated by the area values of benzene, toluene,
and xylene in Figure . The ratios of T/B and X/B can describe the degree of branching
of coal. Although the O/C and H/C of the eight coals are so close
and are between BC and AC, the differences in T/B and X/B of the eight
coals are obvious as most of the eight coals are under the line connecting
BC with NC, except for XQ7_2 and XQ5.
Figure 1
Diagram of the atomic ratios of H/C and
O/C (a) for the 11 coals in Table and area ratios of toluene/benzene (T/B) and xylene/benzene
(X/B) (b) of the coal pyrolysis products calculated in Figure .
Figure 2
Bubble plots
of 10 molecular
groups of coal pyrolysis products (benzene, toluene, xylenes, C3_1RAs,
P_2RAs, P_3RAs, P_4RAs, other_2RAs, paraffins_olefins, and phenols_other1RAs)
for the 11 coals.
Diagram of the atomic ratios of H/C and
O/C (a) for the 11 coals in Table and area ratios of toluene/benzene (T/B) and xylene/benzene
(X/B) (b) of the coal pyrolysis products calculated in Figure .Bubble plots
of 10 molecular
groups of coal pyrolysis products (benzene, toluene, xylenes, C3_1RAs,
P_2RAs, P_3RAs, P_4RAs, other_2RAs, paraffins_olefins, and phenols_other1RAs)
for the 11 coals.
Molecular Groups by GC×GC-TOFMS
The GC×GC-TOFMS
results are presented in bubble plots where the size of the bubble
represents the area of each compound (Figure ). In Figure , the X-axis is the first-dimension
retention time in seconds (rt1) and the Y-axis is the second-dimension retention time in seconds (rt2). Coal pyrolysis products are separated by their boiling points
in the first dimension and by their polarities in the second dimension.
Moreover, XQ13_1 has the greatest number of chromatographic peaks
(n = 602).To simplify the data processing
and chemometric analysis, the chromatographic peaks of assigned possible
compounds of the coal pyrolysis products are grouped into 10 molecular
groups of hydrocarbon classes based on their aromaticity. The 10 molecular
groups are benzene, toluene, xylenes, C3_1RAs (one-ring aromatics
with alkyl branches where the carbonnumber is ≥3), P_2RAs
(two-ring aromatics), P_3RAs (three-ring aromatics), P_4RAs (four-ring
aromatics), other_2RAs (compounds in between 2- and 3-ring aromatics),
paraffins_olefins (paraffins and olefins), and phenols_other1RAs (phenols
and other one-ring aromatics other than C3_1RAs). The 10 molecular
groups are illustrated in Figure . It should be noted that we focused on nine molecular
groups in the present work excluding P_4RAs because only three coal
samples (XQ11_2, XQ13_1, and BC) had the P_4Ras molecular group.The relative ratios of the peak area for each molecular group to
the total peak area for the 11 coals have been calculated and illustrated
using a spider chart (Figure ). The relative amounts of the paraffins_olefins in XQ_6,
XQ7_1, XQ7_2, and BC are obviously higher than in the other coals.
Meanwhile, the relative amounts of the benzene group in XQ_6, XQ7_1,
XQ7_2, and BC are obviously lower than in the others. According to
previous work on the past depositional environments in the research
area, both the lenticular bedding and the wave bedding are evidence
of a tidal depositional environment with the interdistributary bay
and lake deposits.[37−45]
Figure 3
Spider chart of the relative ratios of the nine
molecular groups for the 11 coals.
Spider chart of the relative ratios of the nine
molecular groups for the 11 coals.Because paraffin and olefin
are transformed from epicuticular waxes of woods and mainly from lipids
in algae,[46] the tidal depositional environment
of coal leads to a relatively higher amount of paraffin and olefin
in XQ6, XQ7_1, and XQ7_2.
Chemometric
Analysis
HCA and PCA for the nine molecular groups of pyrolysis
products of each bituminous coal reveal correlations that are shown
in Figure . Two clusters
have been distinguished by HCA and component 1 (representing 60.033%
of the contribution to the total data variance) of PCA. The first
cluster is named the as “aromatic group” and includes
P_2RAs, P_3RAs, other_2RAs, and benzene, as they are all related by
their aromatic structure. The second cluster is named as the “aliphatic
group” and includes C3_1RAs, paraffins_olefins, phenols_other1RAs,
xylenes, and toluene, as they are related by their aliphatic structure. Figure shows the relative
amounts of aromatic and aliphatic groups and the δ13CVPDB values of the eight coals.
Figure 4
Dendrogram
of HCA (left) and the loading plot of PCA (right) for the nine molecular
groups of the eight coal pyrolysis products. (In the HCA dendrogram,
the molecular groups of the coal pyrolysis products are listed along
the left vertical axis and the horizontal axis shows the similarity
measures among the molecular groups with the default range of 0–25.
In the PCA plot, the component score of the molecular groups of both
component 1 and component 2 is in the default range of −1 to
1.)
Figure 5
Relative ratios of aromatic groups (blue) and
aliphatic groups (red).
δ13CVPDB values (green) for each of the
eight coals, which are from Table .
Dendrogram
of HCA (left) and the loading plot of PCA (right) for the nine molecular
groups of the eight coal pyrolysis products. (In the HCA dendrogram,
the molecular groups of the coal pyrolysis products are listed along
the left vertical axis and the horizontal axis shows the similarity
measures among the molecular groups with the default range of 0–25.
In the PCA plot, the component score of the molecular groups of both
component 1 and component 2 is in the default range of −1 to
1.)Relative ratios of aromatic groups (blue) and
aliphatic groups (red).
δ13CVPDB values (green) for each of the
eight coals, which are from Table .Coal is deemed
to be a heterogeneous mixture of plant remains transformed from Paleozoic
plants by microbial and other diagenetic activities.[47] The main aromatic compounds in coal are the degradation
products from cellulose and lignin.[47,48] The most common
aliphatic compounds in coal are the degradation products from resinites,
ambers, cuticles of leaf material, and algae.[46−48] The δ13CVPDB values of marine plants are higher than in woods.[46] Thus, the higher relative aliphatic compound content of
coal leads to higher δ13CVPDB values in
coal. Pearson’s correlation between the relative ratio of the
aromatic group in the pyrolysis products and the δ13CVPDB values of the eight coals is calculated to be −0.975.It is obviously shown that the molecular groups of other_2RAs,
P_2RAs, and P_3RAs have a tight correlation (Figure ), which is conjectured to be from a close
source of cellulose and lignin of higher plant remains, in all probability.[48]The coal hydropyrolysis for both XQ8 and
XQ13_1 was investigated by Wang et al.[49] They analyzed different coal tar (CT) samples under the same reaction
conditions of temperature, time, and operating pressure (the detailed
data are shown in the Supporting Information). It was also conjectured that the higher content of aromatic compounds
needed higher reaction temperatures and longer reaction times, but
molecular evidence of aromatic groups was not provided. In the present
work, the relative ratio of aromatic groups in XQ13_1 is higher than
in XQ8 (Figure ),
so it follows that the higher relative content of aromatic groups
in pyrolysis products leads to higher CT and longer reaction time
under the reaction temperature of 460 °C, when similar O/C and
H/C ratios in coals are produced by hydropyrolysis. Meanwhile, the
δ13CVPDB value of XQ13_1 is lower than
that of XQ8 (Figure ), which also means that there is a higher relative content of aromatic
groups in XQ13_1 than in XQ8 because there is negative Pearson’s
correlation between the relative ratio of aromatic groups in the pyrolysis
products and the δ13CVPDB values of coal.If there is a linear relationship between the relative ratio of
aromatic groups in coal pyrolysis products (x, 0
< x < 1) and the CT from coal hydropyrolysis
(y, 0% < y < 100%), then,
under a factor of reaction condition (A = dy/dx), the formula can be expressed asThus, the three lines are fitted for three different reaction conditions
(Figure ).
Figure 6
Linear fitting for the relative ratios of the
aromatic
groups of the coal pyrolysis products and CT. (The values of x are from Figure , and the values of y are from Table for each condition.)
Linear fitting for the relative ratios of the
aromatic
groups of the coal pyrolysis products and CT. (The values of x are from Figure , and the values of y are from Table for each condition.)
Table 2
Values of A and b for Three Different Conditions
A
b
condition I
–18.385
58.737
condition II
5.9701
55.891
condition III
2.7137
60.777
Thus,
the values of A and b for three
conditions are obtained from Figure and are shown in Table , and then, binomial fitting is performed for A and
b (Figure ).
Figure 7
Binomial
fitting for A and b.
Binomial
fitting for A and b.ThusFormula is substituted into formula , and then, the empirical formula is obtained
as formulaIt is noted that
the empirical formula is inaccurate because it has so little experimental data for coal
hydropyrolysis.HCA and PCA also reveal the classification of
eight bituminous coals, which is shown in Figure . The eight coals are divided into three
clusters by component 2 (representing 22.324% of the contribution
to the total data variance). XQ6, XQ7_1, and XQ7_2 are in the first
cluster. XQ4, XQ5, and XQ8 are in the second cluster, and XQ11_2 and
XQ13_1 are in the third one. According to previous work on the depositional
environments,[37−45] the coals in the first cluster
belong to a tide depositional environment with the interdistributary
bay and lake deposits, while the coals in the second cluster belong
to a distributary channel depositional environment, and the coals
in the third cluster belong to a floodplain depositional environment.
In addition, according to the δ13CVPDB values of the eight coals (Figure ), the δ13CVPDB values
of the first-cluster coals are the highest among the three clusters
and the δ13CVPDB values of the third-cluster
coals are the lowest.
Figure 8
Dendrogram
of HCA (left) and the loading plot of PCA (right) for the eight coals.
(In the HCA dendrogram, the eight coals are listed along the left
vertical axis and the horizontal axis shows the similarity measures
among the eight coals with the default range of 0–25. In the
PCA, the component scores of the eight coals for both component 1
and component 2 are in the default range of −1 to 1.).
Dendrogram
of HCA (left) and the loading plot of PCA (right) for the eight coals.
(In the HCA dendrogram, the eight coals are listed along the left
vertical axis and the horizontal axis shows the similarity measures
among the eight coals with the default range of 0–25. In the
PCA, the component scores of the eight coals for both component 1
and component 2 are in the default range of −1 to 1.).Above all, according to the chemometric
results of the eight bituminous coals and formula given above, the bituminous coals formed
in a floodplain depositional environment have more superiority than
the coals formed in a distributary channel depositional environment
in hydropyrolysis because the relative ratios of aromatic groups in
the coal pyrolysis products are different.
Conclusions
Chemometric
tools, including HCA and PCA,
can extract information on the molecular composition of coal pyrolysis
products by the powerful separation and identification processes that
can be achieved by GC×GC-TOFMS.Eight bituminous coals
from the Xieqiao coal mine have been analyzed in the same manner as
other three coals, BC, AC, and NC. The nine molecular groups of coal
pyrolysis products are obtained and separated by online py-GC×GC–MS.
These nine molecular groups are divided into two clusters, that is,
the “aromatic group” and “aliphatic group”,
by the application of HCA and PCA. Meanwhile, the eight bituminous
coals are divided into three clusters depending on the molecular composition
of their pyrolysis products, which are interpreted and confirmed by
their depositional environments and δ13CVPDB values.Moreover, when similar O/C and H/C ratios of bituminous
coals are produced by hydropyrolysis, the coal tar of coal hydropyrolysis
can be estimated by the relative content of aromatic groups. The chemometric
results show that coal formed in a floodplain depositional environment
has more superiority than coal formed in a distributary channel depositional
environment when these coals are exposed to hydropyrolysis.By application of chemometrics, the molecular composition of coal
pyrolysis products will extract information about the characteristics
of coal and provide preference to industrial utilization of coal.
Experimental
Section
Material and Geological Setting
Eight coal samples
from different strata (Table ) were collected from the Xieqiao coal mine, Huainan coal
field, Anhui province, China. Three reference coals, including natural
coke (NC), anthracite (AC), and bituminous coal (BC),[50] were also collected from the Huainan coal field. Raw coal
samples were air-dried and ground to a particle size of ≤100
mesh. The proximate and ultimate analyses of these samples were carried
out according to GB/T212-2008 and GB/T476-2008 (Table ).
Geological
Setting
To interpret the detailed depositional environment
of the coal samples, a literature review of Chinese articles, including
Geological Survey memoirs, on the sedimentary textures of the Xieqiao
coal mine was conducted. The Huainan coal field is located in the
southeastern margin of the Carboniferous-Permian coal-accumulating
region of northern China.[37−41] The
coal-bearing sequences in the present work occur in a stratigraphic
order from the lower Shihezi Formation (nos. 4, 5, 6, 7_1, 7_2, and
8 coal seams) to the early upper Shihezi Formation (nos. 11_2 and
13_1 coal seams) in the early Permian. The depositional environment
of these coal seamformations changed from the lower delta plain to
transitional lower delta plain–upper delta plain over time.[42−45] Both
the no. 4 coal seam (XQ4) and no. 5 coal seam (XQ5) are covered by
tabular cross-bedded sedimentary rocks with distributary channel deposits.[37,43] The no. 6 coal seam (XQ6) occurs above mudstone with lenticular
bedding and interdistributary bay deposits.[37,42,43] The no. 7_1 coal seam and no. 7_2 coal seam
(XQ7_1 and XQ7_2) occur between two sedimentary rocks with wave-bedding
and lake and swamp deposits.[37,39] The no. 8 coal seam
(XQ8) is covered by trough cross-bedded sandstone with distributary
channel deposits.[37,42,43] The
no. 11_2 coal seam (XQ11_2) formed above trough cross-bedded sedimentary
rock with floodplain deposits, which were in the branched fluvial
system near the continent on the alluvial-deltaic plain but not in
the middle of the floodplain.[37,42−44] The no. 13_1 coal seam (XQ13_1)
formed in the anastomosing fluvial system close to the sea on the
alluvial-deltaic plain, which was overlain by tabular cross-bedded
sedimentary rocks in the middle of floodplains and swamps.[37,42−45]
Online Pyrolysis-GC×GC-TOFMS
The online pyrolysis-GC×GC system includes a pyrolyzer with
a fixed furnace (Pyrojector II, SGE, Inc.) and GC×GC-TOFMS (Leco
Corp.). The pyrolysis temperature is set at 700 °C with helium
as the carrier gas. The transfer tube of the pyrolyzer is placed directly
into the GC inlet to transfer coal pyrolysis products to the GC column.
Then, 2.0 mg of each coal sample is used for each analysis. GC ×
GC-TOFMS is equipped with an Agilent 7890 GC, a liquid N2 cryogenic modulator, and a time-of-flight mass spectrometer. The
first dimension GC column is a nonpolar 100% dimethyl polysiloxane
column (BP-1, 60 m L × 0.25 mm ID, and 0.25 μm film thickness,
SGE, Inc). The second dimension is a 50% phenyl polysiloxane column
(BPX50, 1.4 m × 0.18 mm ID and 0.1 μm film thickness, SGE,
Inc.). The splitless inlet temperature is 300 °C. Helium is used
as the carrier gas with a flow rate of 1.0 mL/min. The GC oven for
the first-dimension column is held at 40 °C for 5 min and then
ramped up to 300 °C at 2 °C/min. The secondary oven has
a temperature offset of +5 °C from the first-dimension oven.
The modulator has an offset of +10 °C. The modulation time is
8 s with a hot pulse time of 1 s. The electron-impact ionization is
used with electron energy at 70 eV. The mass scan range is from 40
to 500 m/z. Leco’s Chroma
TOF (Version 4.45) is used for data acquisition and processing and
is used to assign possible compounds based on searching the NIST library
with a similarity of ≥85% in the fragmentation patterns. The
color of the contour plot represents the intensity of each chromatographic
peak (Supporting Information). Semiquantitation
is operated by calculating the relative ratio of the peak area for
each group of pyrolysis products in the total peak area of the chromatogram.
Carbon Isotope Analysis
Coal
samples (approx. 200–600 μg) are weighed and packed in
a tin capsule and then flash-combusted in excess oxygen at 1080 °C
in an elemental analyzer (Haiyu-xinhua Co. Ltd, Beijing, China). The
resulting CO2 is analyzed online with ThermoFinnigan Delta plus (ThermoFinnigan, Bremen, Germany). The carbon isotope
compositions of CO2 are reported in the standard δ
notation on the VPDB scale. The repeatability of the total analytical
procedure is in the range of 0.1–0.2‰. The experiments
are conducted following the analytical method described in Zha et
al.[51] The δ13CVPDB values of coal samples are presented in Table .
Statistical
Analysis
The Pearson product–moment correlation coefficient
(Pearson’s correlation), γ, is widely used in statistical
analysis as a measure of the degree of linear dependence on two variables
(X and Y). In the present work,
it is used to build the correlation relationship between the molecular
composition of coal pyrolysis products and coal characteristics using
HCA and PCA. The formula for γ is as followsPearson’s
correlation and a two-sample t-test of variables
are calculated using IBM SPSS Statistics Version 19.HCA is
designed to identify relatively homogeneous groups of variables (coals
or molecular groups) based on the molecular compositions of coal pyrolysis
products, using an algorithm that starts with each variable in a separated
cluster and combines clusters until only one is left. HCA is also
calculated using SPSS with the parameters of Pearson’s correlation
for interval data and the cluster method of between-group linkages.
Similarly, measures of each variable between the clusters are generated
by the proximity procedure with the default range of 0–25,
when the clusters are joined.PCA accounts for patterns of variation
in coals or molecular groups based on the molecular composition of
coal pyrolysis products in a single set of major components. The major
components are the scale values, which are optimal with respect to
the principal component solution, when these scale values are assigned
to each category of every variable (coals or molecular groups). PCA
is also performed using SPSS with the cluster method of between-group
linkages and fixing two factors for factor extraction and 25 iterations
to achieve maximum iterations for convergence. The component scores
of coals or molecular groups to major components in the default range
of −1 to 1 are calculated to reveal the patterns among the
coals or molecular groups.
Authors: Laura A McGregor; Caroline Gauchotte-Lindsay; Niamh Nic Daéid; Russell Thomas; Paddy Daly; Robert M Kalin Journal: J Chromatogr A Date: 2011-05-20 Impact factor: 4.759