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All results from a given calculation for C8H14 (Bicyclo[2.2.2]octane)

using model chemistry: PBEPBE/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D3H 1A1'
1 2 no D3 1A1

Conformer 1 (D3H)

Jump to S1C2
Energy calculated at PBEPBE/3-21G
 hartrees
Energy at 0K-311.166700
Energy at 298.15K-311.183980
HF Energy-311.166700
Nuclear repulsion energy408.928636
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at PBEPBE/3-21G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 3011 2984 0.00      
2 A1 3006 2978 0.00      
3 A1 2978 2951 0.00      
4 A1 1530 1516 0.00      
5 A1 1327 1315 0.00      
6 A1 1264 1252 0.00      
7 A1 1022 1013 0.00      
8 A1 921 913 0.00      
9 A1 779 772 0.00      
10 A1 618 613 0.00      
11 A1 80 79 0.00      
12 A2 3033 3005 1.09      
13 A2 2997 2970 137.37      
14 A2 2970 2943 18.66      
15 A2 1506 1492 4.95      
16 A2 1357 1345 0.33      
17 A2 1160 1150 0.00      
18 A2 977 968 1.42      
19 A2 796 788 0.52      
20 A2 783 775 0.96      
21 E 3039 3012 68.86      
21 E 3039 3012 68.86      
22 E 3012 2985 1.84      
22 E 3012 2985 1.84      
23 E 2986 2959 68.13      
23 E 2986 2959 68.12      
24 E 2974 2947 0.55      
24 E 2974 2947 0.55      
25 E 1507 1493 12.31      
25 E 1507 1493 12.32      
26 E 1492 1478 0.05      
26 E 1492 1478 0.05      
27 E 1374 1362 0.29      
27 E 1374 1362 0.29      
28 E 1342 1330 0.01      
28 E 1342 1330 0.01      
29 E 1325 1312 0.08      
29 E 1325 1312 0.08      
30 E 1287 1275 5.44      
30 E 1287 1275 5.45      
31 E 1246 1235 0.01      
31 E 1246 1235 0.01      
32 E 1166 1155 0.31      
32 E 1166 1155 0.31      
33 E 1107 1097 0.06      
33 E 1107 1097 0.06      
34 E 1051 1041 0.02      
34 E 1051 1041 0.02      
35 E 963 954 0.01      
35 E 963 954 0.01      
36 E 861 853 2.76      
36 E 861 853 2.76      
37 E 823 816 1.70      
37 E 823 816 1.70      
38 E 502 497 0.01      
38 E 502 497 0.01      
39 E 370 366 0.00      
39 E 370 366 0.00      
40 E 282 279 0.01      
40 E 282 279 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 44763.8 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 44356.4 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at PBEPBE/3-21G
ABC
0.08007 0.07709 0.07709

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/3-21G

Point Group is D3

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.306
C2 0.000 0.000 -1.306
C3 -0.045 1.458 0.783
C4 1.285 -0.690 0.783
C5 -1.241 -0.768 0.783
C6 0.045 1.458 -0.783
C7 -1.285 -0.690 -0.783
C8 1.241 -0.768 -0.783
H9 0.000 0.000 2.413
H10 0.000 0.000 -2.413
H11 0.794 2.032 1.219
H12 -0.985 1.934 1.118
H13 1.362 -1.704 1.219
H14 2.168 -0.114 1.118
H15 -2.157 -0.328 1.219
H16 -1.183 -1.821 1.118
H17 -0.794 2.032 -1.219
H18 0.985 1.934 -1.118
H19 -1.362 -1.704 -1.219
H20 -2.168 -0.114 -1.118
H21 2.157 -0.328 -1.219
H22 1.183 -1.821 -1.118

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18 H19 H20 H21 H22
C12.61251.54991.54991.54992.54852.54852.54851.10653.71902.18332.17922.18332.17922.18332.17923.33703.25423.33703.25423.33703.2542
C22.61252.54852.54852.54851.54991.54991.54993.71901.10653.33703.25423.33703.25423.33703.25422.18332.17922.18332.17922.18332.1792
C31.54992.54852.52702.52701.56912.93433.01032.18723.51331.10581.10613.48842.73502.80023.48682.21362.21413.96793.25493.47083.9840
C41.54992.54852.52702.52702.93433.01031.56912.18723.51332.80023.48681.10581.10613.48842.73503.96793.25493.47083.98402.21362.2141
C51.54992.54852.52702.52703.01031.56912.93432.18723.51333.48842.73502.80023.48681.10581.10613.47083.98402.21362.21413.96793.2549
C62.54851.54991.56912.93433.01032.52702.52703.51332.18722.21362.21413.96793.25493.47083.98401.10581.10613.48842.73502.80023.4868
C72.54851.54992.93433.01031.56912.52702.52703.51332.18723.96793.25493.47083.98402.21362.21412.80023.48681.10581.10613.48842.7350
C82.54851.54993.01031.56912.93432.52702.52703.51332.18723.47083.98402.21362.21413.96793.25493.48842.73502.80023.48681.10581.1061
H91.10653.71902.18722.18722.18723.51333.51333.51334.82552.48682.52782.48682.52782.48682.52784.23664.14474.23664.14474.23664.1447
H103.71901.10653.51333.51333.51332.18722.18722.18724.82554.23664.14474.23664.14474.23664.14472.48682.52782.48682.52782.48682.5278
H112.18333.33701.10582.80023.48842.21363.96793.47082.48684.23661.78533.77852.54973.77854.33122.91002.34674.95484.34063.65624.5224
H122.17923.25421.10613.48682.73502.21413.25493.98402.52784.14471.78534.33123.76032.54973.76032.34672.98034.34063.25474.52244.8785
H132.18333.33703.48841.10582.80023.96793.47082.21362.48684.23663.77854.33121.78533.77852.54974.95484.34063.65624.52242.91002.3467
H142.17923.25422.73501.10613.48683.25493.98402.21412.52784.14472.54973.76031.78534.33123.76034.34063.25474.52244.87852.34672.9803
H152.18333.33702.80023.48841.10583.47082.21363.96792.48684.23663.77852.54973.77854.33121.78533.65624.52242.91002.34674.95484.3406
H162.17923.25423.48682.73501.10613.98402.21413.25492.52784.14474.33123.76032.54973.76031.78534.52244.87852.34672.98034.34063.2547
H173.33702.18332.21363.96793.47081.10582.80023.48844.23662.48682.91002.34674.95484.34063.65624.52241.78533.77852.54973.77854.3312
H183.25422.17922.21413.25493.98401.10613.48682.73504.14472.52782.34672.98034.34063.25474.52244.87851.78534.33123.76032.54973.7603
H193.33702.18333.96793.47082.21363.48841.10582.80024.23662.48684.95484.34063.65624.52242.91002.34673.77854.33121.78533.77852.5497
H203.25422.17923.25493.98402.21412.73501.10613.48684.14472.52784.34063.25474.52244.87852.34672.98032.54973.76031.78534.33123.7603
H213.33702.18333.47082.21363.96792.80023.48841.10584.23662.48683.65624.52242.91002.34674.95484.34063.77852.54973.77854.33121.7853
H223.25422.17923.98402.21413.25493.48682.73501.10614.14472.52784.52244.87852.34672.98034.34063.25474.33123.76032.54973.76031.7853

picture of Bicyclo[2.2.2]octane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C6 109.586 C1 C3 H11 109.457
C1 C3 H12 109.120 C1 C4 C8 109.586
C1 C4 H13 109.457 C1 C4 H14 109.120
C1 C5 C7 109.586 C1 C5 H15 109.457
C1 C5 H17 72.068 C2 C6 C3 109.586
C2 C6 H17 109.457 C2 C6 H18 109.120
C2 C7 C5 109.586 C2 C7 H19 109.457
C2 C7 H20 109.120 C2 C8 C4 109.586
C2 C8 H21 109.457 C2 C8 H22 109.120
C3 C1 C4 109.222 C3 C1 C5 109.222
C3 C1 H9 109.719 C3 C6 H17 110.494
C3 C6 H18 110.517 C4 C1 C5 109.222
C4 C1 H9 109.719 C4 C8 H21 110.494
C4 C8 H22 110.517 C5 C1 H9 109.719
C5 C7 H19 110.494 C5 C7 H20 110.517
C6 C2 C7 109.222 C6 C2 C8 109.222
C6 C2 H10 109.719 C6 C3 H11 110.494
C6 C3 H12 110.517 C7 C2 C8 109.222
C7 C2 H10 109.719 C7 C5 H15 110.494
C7 C5 H16 110.517 C8 C2 H10 109.719
C8 C4 H13 110.494 C8 C4 H14 110.517
H11 C3 H12 107.629 H13 C4 H14 107.629
H15 C5 H16 107.629 H17 C6 H18 107.629
H19 C7 H20 107.629 H21 C8 H22 107.629
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.273      
2 C -0.273      
3 C -0.369      
4 C -0.369      
5 C -0.369      
6 C -0.369      
7 C -0.369      
8 C -0.369      
9 H 0.195      
10 H 0.195      
11 H 0.198      
12 H 0.197      
13 H 0.198      
14 H 0.197      
15 H 0.198      
16 H 0.197      
17 H 0.198      
18 H 0.197      
19 H 0.198      
20 H 0.197      
21 H 0.198      
22 H 0.197      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -51.369 0.000 0.000
y 0.000 -51.369 0.000
z 0.000 0.000 -51.425
Traceless
 xyz
x 0.028 0.000 0.000
y 0.000 0.028 0.000
z 0.000 0.000 -0.056
Polar
3z2-r2-0.113
x2-y20.000
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.113 0.000 -0.000
y 0.000 11.113 0.000
z -0.000 0.000 11.123


<r2> (average value of r2) Å2
<r2> 236.179
(<r2>)1/2 15.368

Conformer 2 (D3)

Jump to S1C1
Energy calculated at PBEPBE/3-21G
 hartrees
Energy at 0K-311.166698
Energy at 298.15K-311.183986
HF Energy-311.166698
Nuclear repulsion energy408.945177
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at PBEPBE/3-21G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 3011 2984 0.00      
2 A1 3005 2978 0.00      
3 A1 2978 2951 0.00      
4 A1 1530 1516 0.00      
5 A1 1327 1315 0.00      
6 A1 1265 1253 0.00      
7 A1 1023 1014 0.00      
8 A1 922 914 0.00      
9 A1 780 773 0.00      
10 A1 618 613 0.00      
11 A1 83 82 0.00      
12 A2 3031 3004 1.76      
13 A2 2999 2971 130.86      
14 A2 2969 2942 24.47      
15 A2 1506 1493 4.94      
16 A2 1357 1345 0.33      
17 A2 1160 1150 0.00      
18 A2 977 968 1.41      
19 A2 795 788 0.47      
20 A2 782 775 0.99      
21 E 3038 3010 68.60      
21 E 3038 3010 68.59      
22 E 3011 2984 2.92      
22 E 3011 2984 2.92      
23 E 2985 2958 67.19      
23 E 2985 2958 67.18      
24 E 2973 2946 0.78      
24 E 2973 2946 0.78      
25 E 1507 1493 12.33      
25 E 1507 1493 12.33      
26 E 1493 1479 0.04      
26 E 1493 1479 0.04      
27 E 1374 1361 0.30      
27 E 1374 1361 0.30      
28 E 1342 1330 0.01      
28 E 1342 1330 0.01      
29 E 1325 1313 0.09      
29 E 1325 1313 0.09      
30 E 1287 1275 5.43      
30 E 1287 1275 5.44      
31 E 1246 1235 0.02      
31 E 1246 1235 0.02      
32 E 1166 1155 0.31      
32 E 1166 1155 0.31      
33 E 1107 1097 0.07      
33 E 1107 1097 0.07      
34 E 1051 1041 0.02      
34 E 1051 1041 0.02      
35 E 962 953 0.01      
35 E 962 953 0.01      
36 E 862 854 2.78      
36 E 862 854 2.78      
37 E 823 816 1.71      
37 E 823 816 1.71      
38 E 502 497 0.01      
38 E 502 497 0.01      
39 E 370 367 0.00      
39 E 370 367 0.00      
40 E 282 280 0.01      
40 E 282 280 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 44765.4 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 44358.0 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at PBEPBE/3-21G
ABC
0.08005 0.07711 0.07711

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/3-21G

Point Group is D3

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.299
C2 0.000 0.000 -1.299
C3 -0.104 1.441 0.771
C4 1.300 -0.630 0.771
C5 -1.195 -0.811 0.771
C6 0.104 1.441 -0.771
C7 -1.300 -0.630 -0.771
C8 1.195 -0.811 -0.771
H9 0.000 0.000 2.413
H10 0.000 0.000 -2.413
H11 0.742 2.041 1.183
H12 -1.046 1.940 1.206
H13 1.396 -1.663 1.183
H14 2.203 -0.064 1.206
H15 -2.138 -0.378 1.183
H16 -1.157 -1.876 1.206
H17 -0.742 2.041 -1.183
H18 1.046 1.940 -1.206
H19 -1.396 -1.663 -1.183
H20 -2.203 -0.064 -1.206
H21 2.138 -0.378 -1.183
H22 1.157 -1.876 -1.206

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18 H19 H20 H21 H22
C12.59761.53761.53761.53762.52432.52432.52431.11393.71152.17452.20622.17452.20622.17452.20623.29783.33683.29783.33683.29783.3368
C22.59762.52432.52432.52431.53761.53761.53763.71151.11393.29783.33683.29783.33683.29783.33682.17452.20622.17452.20622.17452.2062
C31.53762.52432.50162.50161.55702.84533.02292.18633.49641.11641.15133.47182.78902.75903.50672.14182.34203.88863.25283.48664.0624
C41.53762.52432.50162.50162.84533.02291.55702.18633.49642.75903.50671.11641.15133.47182.78903.88863.25283.48664.06242.14182.3420
C51.53762.52432.50162.50163.02291.55702.84532.18633.49643.47182.78902.75903.50671.11641.15133.48664.06242.14182.34203.88863.2528
C62.52431.53761.55702.84533.02292.50162.50163.49642.18632.14182.34203.88863.25283.48664.06241.11641.15133.47182.78902.75903.5067
C72.52431.53762.84533.02291.55702.50162.50163.49642.18633.88863.25283.48664.06242.14182.34202.75903.50671.11641.15133.47182.7890
C82.52431.53763.02291.55702.84532.50162.50163.49642.18633.48664.06242.14182.34203.88863.25283.47182.78902.75903.50671.11641.1513
H91.11393.71152.18632.18632.18633.49643.49643.49644.82542.49542.51282.49542.51282.49542.51284.20074.23744.20074.23744.20074.2374
H103.71151.11393.49643.49643.49642.18632.18632.18634.82544.20074.23744.20074.23744.20074.23742.49542.51282.49542.51282.49542.5128
H112.17453.29781.11642.75903.47182.14183.88863.48662.49544.20071.79123.76112.56243.76114.35302.79322.41074.88774.33763.66034.6068
H122.20623.33681.15133.50672.78902.34203.25284.06242.51284.23741.79124.35303.81792.56243.81792.41073.19344.33763.34314.60685.0238
H132.17453.29783.47181.11642.75903.88863.48662.14182.49544.20073.76114.35301.79123.76112.56244.88774.33763.66034.60682.79322.4107
H142.20623.33682.78901.15133.50673.25284.06242.34202.51284.23742.56243.81791.79124.35303.81794.33763.34314.60685.02382.41073.1934
H152.17453.29782.75903.47181.11643.48662.14183.88862.49544.20073.76112.56243.76114.35301.79123.66034.60682.79322.41074.88774.3376
H162.20623.33683.50672.78901.15134.06242.34203.25282.51284.23744.35303.81792.56243.81791.79124.60685.02382.41073.19344.33763.3431
H173.29782.17452.14183.88863.48661.11642.75903.47184.20072.49542.79322.41074.88774.33763.66034.60681.79123.76112.56243.76114.3530
H183.33682.20622.34203.25284.06241.15133.50672.78904.23742.51282.41073.19344.33763.34314.60685.02381.79124.35303.81792.56243.8179
H193.29782.17453.88863.48662.14183.47181.11642.75904.20072.49544.88774.33763.66034.60682.79322.41073.76114.35301.79123.76112.5624
H203.33682.20623.25284.06242.34202.78901.15133.50674.23742.51284.33763.34314.60685.02382.41073.19342.56243.81791.79124.35303.8179
H213.29782.17453.48662.14183.88862.75903.47181.11644.20072.49543.66034.60682.79322.41074.88774.33763.76112.56243.76114.35301.7912
H223.33682.20624.06242.34203.25283.50672.78901.15134.23742.51284.60685.02382.41073.19344.33763.34314.35303.81792.56243.81791.7912

picture of Bicyclo[2.2.2]octane state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C6 109.315 C1 C3 H11 109.009
C1 C3 H12 109.428 C1 C4 C8 109.315
C1 C4 H13 109.009 C1 C4 H14 109.428
C1 C5 C7 109.315 C1 C5 H15 109.009
C1 C5 H17 70.124 C2 C6 C3 109.315
C2 C6 H17 109.009 C2 C6 H18 109.428
C2 C7 C5 109.315 C2 C7 H19 109.009
C2 C7 H20 109.428 C2 C8 C4 109.315
C2 C8 H21 109.009 C2 C8 H22 109.428
C3 C1 C4 108.878 C3 C1 C5 108.878
C3 C1 H9 110.058 C3 C6 H17 105.291
C3 C6 H18 118.943 C4 C1 C5 108.878
C4 C1 H9 110.058 C4 C8 H21 105.291
C4 C8 H22 118.943 C5 C1 H9 110.058
C5 C7 H19 105.291 C5 C7 H20 118.943
C6 C2 C7 108.878 C6 C2 C8 108.878
C6 C2 H10 110.058 C6 C3 H11 105.291
C6 C3 H12 118.943 C7 C2 C8 108.878
C7 C2 H10 110.058 C7 C5 H15 105.291
C7 C5 H16 118.943 C8 C2 H10 110.058
C8 C4 H13 105.291 C8 C4 H14 118.943
H11 C3 H12 104.339 H13 C4 H14 104.339
H15 C5 H16 104.339 H17 C6 H18 104.339
H19 C7 H20 104.339 H21 C8 H22 104.339
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.272      
2 C -0.272      
3 C -0.369      
4 C -0.369      
5 C -0.369      
6 C -0.369      
7 C -0.369      
8 C -0.369      
9 H 0.195      
10 H 0.195      
11 H 0.198      
12 H 0.197      
13 H 0.198      
14 H 0.197      
15 H 0.198      
16 H 0.197      
17 H 0.198      
18 H 0.197      
19 H 0.198      
20 H 0.197      
21 H 0.198      
22 H 0.197      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -51.374 0.000 0.000
y 0.000 -51.374 0.000
z 0.000 0.000 -51.415
Traceless
 xyz
x 0.021 0.000 0.000
y 0.000 0.021 0.000
z 0.000 0.000 -0.041
Polar
3z2-r2-0.082
x2-y20.000
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.115 0.000 -0.000
y 0.000 11.114 0.000
z -0.000 0.000 11.120


<r2> (average value of r2) Å2
<r2> 236.158
(<r2>)1/2 15.367