Introduction

In the previous post we showed how ggplot2 can be used to effectively and quickly render a periodic table overlaid with near-arbitrary elemental data.

Let’s use this newfound ability to visualise all the datasets we have available to us.

library(ggplot2)
library(dplyr)
library(grid)
library(knitr)
library(common)

Available elemental properties

Some properties are not suited for this type of visualisation, and will be excluded (see donotplot vector below). Others are better visualised as discrete variables, although they are numeric in format. Such properties will be converted back to character (see numericasdiscrete below).

# drop some redundant columns
values <- values[, -grep(pattern = "^Absolute.*", names(values))]
units <- units[, -grep(pattern = "^Absolute.*", names(units))]
# some columns are not suitable for this format of visualisation
donotplot <-
   c("Name",
     "Symbol",
     "Group",
     "Graph.Group",
     "Period",
     "Graph.Period",
     "EU_Number",
     "RTECS_Number",
     "Alternate_Names",
     "Electron_Configuration",
     "CAS_Number",
     "CID_Number",
     "Gmelin_Number",
     "NSC_Number",
     "Quantum_Numbers",
     "Space_Group_Name",
     "Space_Group_Number")
# some numeric columns are better visualised as discrete variables
numericasdiscrete <-
   c("DOT_Hazard_Class",
     "NFPA_Fire_Rating",
     "NFPA_Health_Rating",
     "NFPA_Reactivity_Rating")
for (i in 1:length(numericasdiscrete)) {
   values[, which(names(values) == numericasdiscrete[i])] <-
      as.character(values[, which(names(values) == numericasdiscrete[i])])
}

Here are all the elemental properties that have been deemed suitable for visualisation.

str(values)
## 'data.frame':    118 obs. of  80 variables:
##  $ Name                          : chr  "Hydrogen" "Helium" "Lithium" "Beryllium" ...
##  $ Symbol                        : chr  "H" "He" "Li" "Be" ...
##  $ Atomic_Number                 : num  1 2 3 4 5 6 7 8 9 10 ...
##  $ Atomic_Weight                 : num  1.01 4 6.94 9.01 10.81 ...
##  $ Density                       : num  8.99e-02 1.78e-01 5.35e+02 1.85e+03 2.46e+03 ...
##  $ Melting_Point                 : num  14 NA 454 1560 2348 ...
##  $ Boiling_Point                 : num  20.28 4.22 1615.15 2743.15 4273.15 ...
##  $ Phase                         : chr  "Gas" "Gas" "Solid" "Solid" ...
##  $ Critical_Pressure             : num  1293000 NA NA NA 3390000 ...
##  $ Critical_Temperature          : num  32.97 5.19 3223 NA NA ...
##  $ Heat_of_Fusion                : num  0.558 0.02 3 7.95 50 105 0.36 0.222 0.26 0.34 ...
##  $ Heat_of_Vaporization          : num  0.452 0.083 147 297 507 715 2.79 3.41 3.27 1.75 ...
##  $ Heat_of_Combustion            : num  NA NA -298 NA NA -393 NA NA NA NA ...
##  $ Specific_Heat                 : num  14300 NA 1820 240 1040 165 1030 154 904 140 ...
##  $ Adiabatic_Index               : chr  "7/5" "5/3" NA NA ...
##  $ Neel_Point                    : num  NA NA NA NA NA NA NA NA NA NA ...
##  $ Thermal_Conductivity          : num  0.18 0.151 85 190 27 ...
##  $ Thermal_Expansion             : num  NA NA 4.60e-05 1.13e-05 6.00e-06 7.10e-06 NA NA NA NA ...
##  $ Density_Liquid                : num  NA NA 512 1690 2080 NA NA NA NA NA ...
##  $ Molar_Volume                  : num  1.12e-02 2.24e-02 1.30e-05 4.88e-06 4.39e-06 ...
##  $ Brinell_Hardness              : num  NA NA NA 6e+08 NA NA NA NA NA NA ...
##  $ Mohs_Hardness                 : num  NA NA 600000 5500000 9300000 500000 NA NA NA NA ...
##  $ Vickers_Hardness              : num  NA NA NA 1.67e+09 4.90e+10 ...
##  $ Bulk_Modulus                  : num  NA NA 1.1e+10 1.3e+11 3.2e+11 ...
##  $ Shear_Modulus                 : num  NA NA 4.20e+09 1.32e+11 NA ...
##  $ Young_Modulus                 : num  NA NA 4.90e+09 2.87e+11 NA ...
##  $ Poisson_Ratio                 : num  NA NA NA 0.032 NA NA NA NA NA NA ...
##  $ Refractive_Index              : num  1 1 NA NA NA ...
##  $ Speed_of_Sound                : num  1270 970 6000 13000 16200 ...
##  $ Valence                       : num  1 0 1 2 3 4 3 2 1 0 ...
##  $ Electronegativity             : num  2.2 NA 0.98 1.57 2.04 2.55 3.04 3.44 3.98 NA ...
##  $ ElectronAffinity              : num  72.8 0 59.6 0 26.7 ...
##  $ Autoignition_Point            : num  809 NA 452 NA NA ...
##  $ Flashpoint                    : num  255 NA NA NA NA ...
##  $ DOT_Hazard_Class              : chr  "2.1" "2.2" "4.3" "6.1" ...
##  $ DOT_Numbers                   : num  1966 1963 1415 1567 NA ...
##  $ EU_Number                     : chr  "EU215-605-7" "EU231-168-5" "EU231-102-5" "EU231-150-7" ...
##  $ NFPA_Fire_Rating              : chr  "4" "0" "2" "1" ...
##  $ NFPA_Health_Rating            : chr  "3" "1" "3" "3" ...
##  $ NFPA_Reactivity_Rating        : chr  "0" "0" "2" "0" ...
##  $ RTECS_Number                  : chr  "RTECSMW8900000" NA "RTECSDS1750000" "RTECSLW3850000" ...
##  $ Alternate_Names               : chr  NA NA NA NA ...
##  $ Block                         : chr  "s" "p" "s" "s" ...
##  $ Group                         : chr  "1" "18" "1" "2" ...
##  $ Period                        : chr  "1" "1" "2" "2" ...
##  $ Electron_Configuration        : chr  "1s1" "[Xe]4f56s2" "[He]2s2" "[Xe]4f75d16s2" ...
##  $ Color                         : chr  "Colorless" "Colorless" "Silver" "SlateGray" ...
##  $ Gas_phase                     : chr  "Diatomic" "Monoatomic" NA NA ...
##  $ CAS_Number                    : chr  "CAS1333-74-0" "CAS7440-59-7" "CAS7439-93-2" "CAS7440-41-7" ...
##  $ CID_Number                    : chr  "CID783" "CID23987" "CID3028194" "CID5460467" ...
##  $ Gmelin_Number                 : chr  "Gmelin3" "Gmelin16294" "Gmelin30" "Gmelin16256" ...
##  $ NSC_Number                    : chr  NA NA NA NA ...
##  $ Electrical_Type               : chr  NA NA "Conductor" "Conductor" ...
##  $ Electrical_Conductivity       : num  NA NA 1.1e+07 2.5e+07 1.0e-04 1.0e+05 NA NA NA NA ...
##  $ Resistivity                   : num  NA NA 9.4e-08 4.0e-08 1.0e+04 1.0e-05 NA NA NA NA ...
##  $ Superconducting_Point         : num  NA NA NA 0.026 NA NA NA NA NA NA ...
##  $ Magnetic_Type                 : chr  "Diamagnetic" "Diamagnetic" "Paramagnetic" "Diamagnetic" ...
##  $ Curie_Point                   : num  NA NA NA NA NA NA NA NA NA NA ...
##  $ Mass_Magnetic_Susceptibility  : num  -2.48e-08 -5.90e-09 6.30e-09 -1.26e-08 -8.70e-09 ...
##  $ Molar_Magnetic_Susceptibility : num  -2.50e-11 -2.36e-11 4.37e-11 -1.14e-10 -9.41e-11 ...
##  $ Volume_Magnetic_Susceptibility: num  -2.23e-09 -1.05e-09 3.37e-06 -2.33e-05 -2.14e-05 ...
##  $ Percent_in_Universe           : num  7.5e+01 2.3e+01 6.0e-07 1.0e-07 1.0e-07 5.0e-01 1.0e-01 1.0 4.0e-05 1.3e-01 ...
##  $ Percent_in_Sun                : num  7.5e+01 2.3e+01 6.0e-09 1.0e-08 2.0e-07 3.0e-01 1.0e-01 9.0e-01 5.0e-05 1.0e-01 ...
##  $ Percent_in_Meteorites         : num  2.4 NA 1.7e-04 2.9e-06 1.6e-04 1.5 1.4e-01 4.0e+01 8.7e-03 NA ...
##  $ Percent_in_Earths_Crust       : num  1.5e-01 5.5e-07 1.7e-03 1.9e-04 8.6e-04 1.8e-01 2.0e-03 4.6e+01 5.4e-02 3.0e-07 ...
##  $ Percent_in_Oceans             : num  1.1e+01 7.2e-10 1.8e-05 6.0e-11 4.4e-04 ...
##  $ Percent_in_Humans             : num  1.0e+01 NA 3.0e-06 4.0e-08 7.0e-05 2.3e+01 2.6 6.1e+01 3.7e-03 NA ...
##  $ Atomic_Radius                 : num  5.30e-11 3.10e-11 1.67e-10 1.12e-10 8.70e-11 ...
##  $ Covalent_Radius               : num  3.70e-11 3.20e-11 1.34e-10 9.00e-11 8.20e-11 ...
##  $ Van_der_Waals_Radius          : num  1.20e-10 1.40e-10 1.82e-10 NA NA 1.70e-10 1.55e-10 1.52e-10 1.47e-10 1.54e-10 ...
##  $ Space_Group_Name              : chr  "P63/mmc" "Fm_\n3m" "Im_\n3m" "P63/mmc" ...
##  $ Space_Group_Number            : num  194 225 229 194 166 194 194 12 15 225 ...
##  $ HalfLife                      : num  Inf Inf Inf Inf Inf ...
##  $ Lifetime                      : num  Inf Inf Inf Inf Inf ...
##  $ Decay_Mode                    : chr  NA NA NA NA ...
##  $ Quantum_Numbers               : chr  "2S1/2" "1S0" "2S1/2" "1S0" ...
##  $ Neutron_Cross_Section         : num  3.32e-01 7.00e-03 4.50e-02 9.20e-03 7.55e+02 3.50e-03 1.91 2.80e-04 9.60e-03 4.00e-02 ...
##  $ Neutron_Mass_Absorption       : num  1.1e-02 1.0e-05 NA 3.0e-05 2.4 1.5e-05 4.8e-03 1.0e-06 2.0e-05 6.0e-04 ...
##  $ Graph.Period                  : num  1 1 2 2 2 2 2 2 2 2 ...
##  $ Graph.Group                   : num  1 18 1 2 13 14 15 16 17 18 ...

Properties, visualised

Note: the physical state at which the values are stated are not always determined in this dataset. This is a weakness of the web-scraping algorithm, which does not record the notes accompanying many datapoints. This means that the usability of these plots are limited in scope. If someone has an open, curated dataset of elemental properties available, let me know!

We can plot periodic tables of all available properties with just one chunk (using some looping, of course).

for (k in 1:dim(values)[2]) {
   # withhold some columns from plotting
   if (names(values)[k] %in% donotplot) {
      next
   }
   # numeric or character column?
   if (class(values[, k]) == "numeric") {
      p <-
         continuous_property_as_periodic_table(data = data.frame(
            Graph.Group = values$Graph.Group,
            Graph.Period = values$Graph.Period,
            Symbol = values$Symbol,
            Property = gsub("_", " ", names(values)[k]),
            Values = values[, k],
            Unit = units[, k]))
      print(p)
      cat(paste("Summary of", gsub("_", " ", names(values)[k])), "\n")
      print(summary(values[, k]))
   }
   if (class(values[, k]) == "character") {
      p <-
         discrete_property_as_periodic_table(data = data.frame(
            Graph.Group = values$Graph.Group,
            Graph.Period = values$Graph.Period,
            Symbol = values$Symbol,
            Values = values[, k]),
            scale.title = gsub("_", " ", names(values)[k]),
            scale.ncol = 3)
      print(p)
      cat(paste("Count of", gsub("_", " ", names(values)[k])), "\n")
      print(count(values, vars = values[, k]))
   }
}

## Summary of Atomic Number 
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##    1.00   30.25   59.50   59.50   88.75  118.00

## Summary of Atomic Weight 
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max.    NA's 
##   1.008  65.409 140.908 144.877 226.000 294.000       1

## Summary of Density 
##     Min.  1st Qu.   Median     Mean  3rd Qu.     Max.     NA's 
##     0.09  2545.00  7140.00  7645.57 10385.00 22650.00       23

## Summary of Melting Point 
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max.    NA's 
##   14.01  544.45 1204.15 1296.57 1811.15 3823.15      17

## Summary of Boiling Point 
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max.    NA's 
##    4.22 1193.90 2816.15 2558.87 3604.40 5869.15      24

## Count of Phase 
##     vars  n
## 1    Gas 11
## 2 Liquid  2
## 3  Solid 86
## 4   <NA> 19

## Summary of Critical Pressure 
##      Min.   1st Qu.    Median      Mean   3rd Qu.      Max.      NA's 
##    227000   5043000   7991000  20654048  16000000 172000000        97

## Summary of Critical Temperature 
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max.    NA's 
##    5.19  150.87  416.90  963.74 1766.00 3223.00      97

## Summary of Heat of Fusion 
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max.    NA's 
##    0.02    5.40   10.00   13.77   18.70  105.00      25

## Summary of Heat of Vaporization 
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max.    NA's 
##   0.083  73.225 272.500 265.906 380.000 800.000      24

## Summary of Heat of Combustion 
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max.    NA's 
## -9055.0  -829.0  -536.0 -1731.7  -345.5  -182.0     111

## Summary of Specific Heat 
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max.    NA's 
##    63.0   159.6   241.0   624.5   496.8 14300.0      30

## Count of Adiabatic Index 
##   vars   n
## 1  5/3   6
## 2  7/5   5
## 3 <NA> 107

## Summary of Neel Point 
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max.    NA's 
##    12.5    69.0   100.0   127.2   155.0   393.0     107

## Summary of Thermal Conductivity 
##     Min.  1st Qu.   Median     Mean  3rd Qu.     Max.     NA's 
##   0.0036  10.0000  23.5000  58.0440  81.5000 430.0000       24

## Summary of Thermal Expansion 
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max.    NA's 
## 0.00000 0.00001 0.00001 0.00002 0.00002 0.00012      55

## Summary of Density Liquid 
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max.    NA's 
##     512    4240    6980    7706    9330   20000      49

## Summary of Molar Volume 
##     Min.  1st Qu.   Median     Mean  3rd Qu.     Max.     NA's 
## 0.000004 0.000010 0.000017 0.002021 0.000023 0.022820       23

## Summary of Brinell Hardness 
##      Min.   1st Qu.    Median      Mean   3rd Qu.      Max.      NA's 
## 1.400e+05 1.995e+08 4.900e+08 7.087e+08 8.070e+08 3.920e+09        59

## Summary of Mohs Hardness 
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max.    NA's 
##  200000 1875000 3000000 3740000 6000000 9300000      63

## Summary of Vickers Hardness 
##      Min.   1st Qu.    Median      Mean   3rd Qu.      Max.      NA's 
## 1.670e+08 4.060e+08 6.080e+08 2.108e+09 1.203e+09 4.900e+10        79

## Summary of Bulk Modulus 
##      Min.   1st Qu.    Median      Mean   3rd Qu.      Max.      NA's 
## 1.100e+09 2.800e+10 4.500e+10 9.079e+10 1.400e+11 3.800e+11        49

## Summary of Shear Modulus 
##      Min.   1st Qu.    Median      Mean   3rd Qu.      Max.      NA's 
## 1.300e+09 1.575e+10 2.650e+10 4.685e+10 4.725e+10 2.220e+11        58

## Summary of Young Modulus 
##      Min.   1st Qu.    Median      Mean   3rd Qu.      Max.      NA's 
## 1.700e+09 3.700e+10 6.800e+10 1.105e+11 1.290e+11 5.280e+11        55

## Summary of Poisson Ratio 
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max.    NA's 
##  0.0320  0.2525  0.2800  0.2924  0.3375  0.4500      64

## Summary of Refractive Index 
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max.    NA's 
##   1.000   1.000   1.001   1.075   1.001   2.417      99

## Summary of Speed of Sound 
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max.    NA's 
##     206    1948    2750    3506    4626   18350      46

## Summary of Valence 
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max.    NA's 
##   0.000   3.000   4.000   3.776   5.000   7.000      11

## Summary of Electronegativity 
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max.    NA's 
##   0.700   1.285   1.625   1.737   2.175   3.980      24

## Summary of ElectronAffinity 
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max.    NA's 
##    0.00   21.07   50.00   76.16  105.38  349.00      32

## Summary of Autoignition Point 
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max.    NA's 
##   373.1   430.4   593.1   594.6   728.1   903.1     100

## Summary of Flashpoint 
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max.    NA's 
##   255.2   260.6   290.1   463.6   655.6   918.1     112

## Count of DOT Hazard Class 
##    vars  n
## 1   2.1  1
## 2   2.2  7
## 3   2.3  1
## 4   4.1 26
## 5   4.2  8
## 6   4.3  8
## 7   6.1  6
## 8     7  3
## 9     8  4
## 10 <NA> 54

## Summary of DOT Numbers 
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max.    NA's 
##    1073    1748    2730    2516    3089    9192      52

## Count of NFPA Fire Rating 
##   vars  n
## 1    0 17
## 2    1 13
## 3    2  6
## 4    3  7
## 5    4  4
## 6 <NA> 71

## Count of NFPA Health Rating 
##   vars  n
## 1    0  3
## 2    1 15
## 3    2 13
## 4    3 12
## 5    4  2
## 6 <NA> 73

## Count of NFPA Reactivity Rating 
##   vars  n
## 1    0 26
## 2    1  7
## 3    2  9
## 4    3  1
## 5    4  1
## 6 <NA> 74

## Count of Block 
##   vars  n
## 1    d 40
## 2    f 28
## 3    p 37
## 4    s 13

## Count of Color 
##         vars  n
## 1      Black  2
## 2  Colorless 11
## 3     Copper  1
## 4       Gold  1
## 5       Gray 14
## 6        Red  1
## 7     Silver 59
## 8  SlateGray  5
## 9     Yellow  2
## 10      <NA> 22

## Count of Gas phase 
##         vars   n
## 1   Diatomic   5
## 2 Monoatomic   6
## 3       <NA> 107

## Count of Electrical Type 
##            vars  n
## 1     Conductor 72
## 2     Insulator  5
## 3 Semiconductor  3
## 4          <NA> 38

## Summary of Electrical Conductivity 
##     Min.  1st Qu.   Median     Mean  3rd Qu.     Max.     NA's 
##        0  1100000  4200000  8775038 11250000 62000000       38

## Summary of Resistivity 
##     Min.  1st Qu.   Median     Mean  3rd Qu.     Max.     NA's 
## 0.00e+00 0.00e+00 0.00e+00 1.25e+13 0.00e+00 1.00e+15       38

## Summary of Superconducting Point 
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max.    NA's 
##   0.015   0.490   1.083   2.059   3.410   9.250      85

## Count of Magnetic Type 
##                vars  n
## 1 Antiferromagnetic  1
## 2       Diamagnetic 31
## 3     Ferromagnetic  4
## 4      Paramagnetic 29
## 5              <NA> 53

## Summary of Curie Point 
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max.    NA's 
##    20.0    32.0   222.0   416.2   631.0  1394.0     109

## Summary of Mass Magnetic Susceptibility 
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max.    NA's 
##   0e+00   0e+00   0e+00   0e+00   0e+00   1e-05      36

## Summary of Molar Magnetic Susceptibility 
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max.    NA's 
##       0       0       0       0       0       0      36

## Summary of Volume Magnetic Susceptibility 
##     Min.  1st Qu.   Median     Mean  3rd Qu.     Max.     NA's 
## -0.00017 -0.00001  0.00001  0.00340  0.00026  0.11178       37

## Summary of Percent in Universe 
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max.    NA's 
##  0.0000  0.0000  0.0000  1.2056  0.0002 75.0000      35

## Summary of Percent in Sun 
##     Min.  1st Qu.   Median     Mean  3rd Qu.     Max.     NA's 
##  0.00000  0.00000  0.00000  0.95902  0.00003 75.00000       14

## Summary of Percent in Meteorites 
##     Min.  1st Qu.   Median     Mean  3rd Qu.     Max.     NA's 
##  0.00000  0.00000  0.00002  0.94255  0.00071 40.00000       11

## Summary of Percent in Earths Crust 
##     Min.  1st Qu.   Median     Mean  3rd Qu.     Max.     NA's 
##  0.00000  0.00000  0.00011  0.88241  0.00298 46.00000        4

## Summary of Percent in Oceans 
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max.    NA's 
##  0.0000  0.0000  0.0000  0.9125  0.0000 86.0000       8

## Summary of Percent in Humans 
##     Min.  1st Qu.   Median     Mean  3rd Qu.     Max.     NA's 
##  0.00000  0.00000  0.00000  1.33104  0.00014 61.00000       43

## Summary of Atomic Radius 
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max.    NA's 
##       0       0       0       0       0       0      34

## Summary of Covalent Radius 
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max.    NA's 
##       0       0       0       0       0       0      47

## Summary of Van der Waals Radius 
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max.    NA's 
##       0       0       0       0       0       0      80

## Summary of HalfLife 
##      Min.   1st Qu.    Median      Mean   3rd Qu.      Max. 
## 0.000e+00 4.333e+11       Inf       Inf       Inf       Inf

## Summary of Lifetime 
##      Min.   1st Qu.    Median      Mean   3rd Qu.      Max. 
## 0.000e+00 6.247e+11       Inf       Inf       Inf       Inf

## Count of Decay Mode 
##              vars  n
## 1   AlphaEmission 32
## 2       BetaDecay  3
## 3   BetaPlusDecay  1
## 4 ElectronCapture  1
## 5            <NA> 81

## Summary of Neutron Cross Section 
##     Min.  1st Qu.   Median     Mean  3rd Qu.     Max.     NA's 
##     0.00     1.16     8.28   871.63    81.50 49000.00       20

## Summary of Neutron Mass Absorption 
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max.    NA's 
##  0.0000  0.0006  0.0023  0.2093  0.0165  7.3000      35

And that’s all for today.

sessionInfo()

## R version 4.0.5 (2021-03-31)
## Platform: x86_64-pc-linux-gnu (64-bit)
## Running under: Ubuntu 18.04.6 LTS
## 
## Matrix products: default
## BLAS:   /usr/lib/x86_64-linux-gnu/blas/libblas.so.3.7.1
## LAPACK: /usr/lib/x86_64-linux-gnu/lapack/liblapack.so.3.7.1
## 
## locale:
##  [1] LC_CTYPE=C.UTF-8       LC_NUMERIC=C           LC_TIME=C.UTF-8       
##  [4] LC_COLLATE=C.UTF-8     LC_MONETARY=C.UTF-8    LC_MESSAGES=C.UTF-8   
##  [7] LC_PAPER=C.UTF-8       LC_NAME=C              LC_ADDRESS=C          
## [10] LC_TELEPHONE=C         LC_MEASUREMENT=C.UTF-8 LC_IDENTIFICATION=C   
## 
## attached base packages:
## [1] grid      stats     graphics  grDevices utils     datasets  methods   base     
## 
## other attached packages:
## [1] common_0.0.2  knitr_1.37    dplyr_1.0.8   ggplot2_3.3.5
## 
## loaded via a namespace (and not attached):
##  [1] bslib_0.3.1      compiler_4.0.5   pillar_1.7.0     jquerylib_0.1.4 
##  [5] tools_4.0.5      digest_0.6.29    jsonlite_1.7.3   evaluate_0.14   
##  [9] lifecycle_1.0.1  tibble_3.1.6     gtable_0.3.0     pkgconfig_2.0.3 
## [13] rlang_1.0.1      DBI_1.1.2        cli_3.2.0        yaml_2.2.2      
## [17] blogdown_1.7     xfun_0.29        fastmap_1.1.0    withr_2.4.3     
## [21] stringr_1.4.0    generics_0.1.2   sass_0.4.0       vctrs_0.3.8     
## [25] tidyselect_1.1.2 glue_1.6.1       R6_2.5.1         fansi_1.0.2     
## [29] rmarkdown_2.11   bookdown_0.24    purrr_0.3.4      magrittr_2.0.2  
## [33] scales_1.1.1     htmltools_0.5.2  ellipsis_0.3.2   assertthat_0.2.1
## [37] colorspace_2.0-2 utf8_1.2.2       stringi_1.7.6    munsell_0.5.0   
## [41] crayon_1.5.0