return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C6H12 ((1r,3r)-1,3-dimethylcyclobutane)

using model chemistry: PBEPBE/Def2TZVPP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 no C2H 1Ag
1 2 yes CS 1A'

Conformer 1 (C2H)

Jump to S1C2
Energy calculated at PBEPBE/Def2TZVPP
 hartrees
Energy at 0K-235.588084
Energy at 298.15K 
HF Energy-235.588084
Nuclear repulsion energy247.767183
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/Def2TZVPP
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 Ag 3022 2985 0.00      
2 Ag 2985 2949 0.00      
3 Ag 2975 2939 0.00      
4 Ag 2953 2917 0.00      
5 Ag 1443 1425 0.00      
6 Ag 1437 1420 0.00      
7 Ag 1355 1339 0.00      
8 Ag 1324 1308 0.00      
9 Ag 1212 1197 0.00      
10 Ag 1094 1081 0.00      
11 Ag 925 914 0.00      
12 Ag 865 855 0.00      
13 Ag 640 633 0.00      
14 Ag 303 299 0.00      
15 Au 3024 2988 57.65      
16 Au 2975 2939 79.66      
17 Au 1444 1427 3.85      
18 Au 1418 1400 7.45      
19 Au 1239 1224 0.67      
20 Au 1123 1109 0.35      
21 Au 973 962 3.64      
22 Au 872 861 0.00      
23 Au 252 249 0.04      
24 Au 222 220 0.05      
25 Bg 3028 2991 0.00      
26 Bg 3023 2986 0.00      
27 Bg 1442 1424 0.00      
28 Bg 1232 1217 0.00      
29 Bg 1191 1176 0.00      
30 Bg 1093 1080 0.00      
31 Bg 901 890 0.00      
32 Bg 775 765 0.00      
33 Bg 372 367 0.00      
34 Bg 244 241 0.00      
35 Bu 3034 2997 103.50      
36 Bu 3019 2982 49.76      
37 Bu 2974 2938 19.59      
38 Bu 2952 2917 62.38      
39 Bu 1443 1426 13.34      
40 Bu 1357 1341 7.89      
41 Bu 1303 1288 10.59      
42 Bu 1232 1217 2.37      
43 Bu 1158 1144 0.34      
44 Bu 1020 1008 1.39      
45 Bu 872 862 2.35      
46 Bu 772 763 1.72      
47 Bu 413 408 0.12      
48 Bu 77i 76i 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 35423.3 cm-1
Scaled (by 0.9879) Zero Point Vibrational Energy (zpe) 34994.7 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/Def2TZVPP
ABC
0.27396 0.07517 0.06707

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/Def2TZVPP

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.097
C2 0.000 0.000 -1.097
C3 0.000 1.109 0.000
C4 0.000 -1.109 0.000
C5 1.194 2.049 0.000
C6 -1.194 -2.049 0.000
H7 0.892 0.016 1.741
H8 -0.892 -0.016 1.741
H9 0.892 0.016 -1.741
H10 -0.892 -0.016 -1.741
H11 -0.930 1.699 0.000
H12 0.930 -1.699 0.000
H13 2.139 1.483 0.000
H14 -2.139 -1.483 0.000
H15 1.199 2.700 -0.889
H16 1.199 2.700 0.889
H17 -1.199 -2.700 -0.889
H18 -1.199 -2.700 0.889

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.19491.56031.56032.61362.61361.09971.09972.97512.97512.22602.22602.82512.82513.56012.96183.56012.9618
C22.19491.56031.56032.61362.61362.97512.97511.09971.09972.22602.22602.82512.82512.96183.56012.96183.5601
C31.56031.56032.21831.52003.37682.24092.25622.24092.25621.10112.95802.17183.36122.18152.18154.09134.0913
C41.56031.56032.21833.37681.52002.25622.24092.25622.24092.95801.10113.36122.17184.09134.09132.18152.1815
C52.61362.61361.52003.37684.74402.69423.41262.69423.41262.15313.75741.10164.85721.10181.10185.39225.3922
C62.61362.61363.37681.52004.74403.41262.69423.41262.69423.75742.15314.85721.10165.39225.39221.10181.1018
H71.09972.97512.24092.25622.69423.41261.78363.48173.91203.03032.44362.59643.80323.77072.83334.31993.5315
H81.09972.97512.25622.24093.41262.69421.78363.91203.48172.44363.03033.80322.59644.31993.53153.77072.8333
H92.97511.09972.24092.25622.69423.41263.48173.91201.78363.03032.44362.59643.80322.83333.77073.53154.3199
H102.97511.09972.25622.24093.41262.69423.91203.48171.78362.44363.03033.80322.59643.53154.31992.83333.7707
H112.22602.22601.10112.95802.15313.75743.03032.44363.03032.44363.87343.07693.40412.51502.51504.49604.4960
H122.22602.22602.95801.10113.75742.15312.44363.03032.44363.03033.87343.40413.07694.49604.49602.51502.5150
H132.82512.82512.17183.36121.10164.85722.59643.80322.59643.80323.07693.40415.20651.77651.77655.42545.4254
H142.82512.82513.36122.17184.85721.10163.80322.59643.80322.59643.40413.07695.20655.42545.42541.77651.7765
H153.56012.96182.18154.09131.10185.39223.77074.31992.83333.53152.51504.49601.77655.42541.77795.90886.1705
H162.96183.56012.18154.09131.10185.39222.83333.53153.77074.31992.51504.49601.77655.42541.77796.17055.9088
H173.56012.96184.09132.18155.39221.10184.31993.77073.53152.83334.49602.51505.42541.77655.90886.17051.7779
H182.96183.56014.09132.18155.39221.10183.53152.83334.31993.77074.49602.51505.42541.77656.17055.90881.7779

picture of (1r,3r)-1,3-dimethylcyclobutane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C2 89.391 C1 C3 C5 116.082
C1 C3 H11 112.374 C1 C4 C2 89.391
C1 C4 C6 116.082 C1 C4 H12 112.374
C2 C3 C5 116.082 C2 C3 H11 112.374
C2 C4 C6 116.082 C2 C4 H12 112.374
C3 C1 C4 90.609 C3 C1 H7 113.671
C3 C1 H8 114.933 C3 C2 C4 90.609
C3 C2 H9 113.671 C3 C2 H10 114.933
C3 C5 H13 110.869 C3 C5 H15 111.629
C3 C5 H16 111.629 C4 C1 H7 114.933
C4 C1 H8 113.671 C4 C2 H9 114.933
C4 C2 H10 113.671 C4 C6 H14 110.869
C4 C6 H17 111.629 C4 C6 H18 111.629
C5 C3 H11 109.417 C6 C4 H12 109.417
H7 C1 H8 108.381 H9 C2 H10 108.381
H13 C5 H15 107.464 H13 C5 H16 107.464
H14 C6 H17 107.464 H14 C6 H18 107.464
H15 C5 H16 107.573 H17 C6 H18 107.573
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.154      
2 C -0.154      
3 C 0.083      
4 C 0.083      
5 C -0.277      
6 C -0.277      
7 H 0.047      
8 H 0.047      
9 H 0.047      
10 H 0.047      
11 H 0.033      
12 H 0.033      
13 H 0.070      
14 H 0.070      
15 H 0.075      
16 H 0.075      
17 H 0.075      
18 H 0.075      


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 -40.266 -0.702 0.000
y -0.702 -40.925 0.000
z 0.000 0.000 -40.996
Traceless
 xyz
x 0.695 -0.702 0.000
y -0.702 -0.294 0.000
z 0.000 0.000 -0.401
Polar
3z2-r2-0.801
x2-y20.659
xy-0.702
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.325 1.213 0.000
y 1.213 12.068 0.000
z 0.000 0.000 10.617


<r2> (average value of r2) Å2
<r2> 196.647
(<r2>)1/2 14.023

Conformer 2 (CS)

Jump to S1C1
Energy calculated at PBEPBE/Def2TZVPP
 hartrees
Energy at 0K-235.589279
Energy at 298.15K-235.602442
HF Energy-235.589279
Nuclear repulsion energy248.796800
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/Def2TZVPP
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A' 3031 2994 105.52      
2 A' 3023 2987 14.52      
3 A' 3020 2984 28.00      
4 A' 2984 2948 17.47      
5 A' 2973 2937 8.71      
6 A' 2968 2932 8.11      
7 A' 2954 2919 26.50      
8 A' 2954 2918 34.51      
9 A' 1449 1432 10.36      
10 A' 1444 1427 3.23      
11 A' 1437 1420 1.10      
12 A' 1359 1342 7.92      
13 A' 1355 1339 2.07      
14 A' 1333 1317 0.39      
15 A' 1312 1296 10.30      
16 A' 1228 1213 4.59      
17 A' 1212 1197 0.39      
18 A' 1162 1147 0.26      
19 A' 1109 1095 0.37      
20 A' 1022 1009 0.94      
21 A' 931 920 1.11      
22 A' 916 905 0.69      
23 A' 844 834 0.85      
24 A' 785 775 1.01      
25 A' 626 619 1.68      
26 A' 412 407 0.09      
27 A' 315 311 0.12      
28 A' 87 86 0.01      
29 A" 3027 2990 33.71      
30 A" 3024 2987 15.53      
31 A" 3022 2986 17.57      
32 A" 2969 2933 77.10      
33 A" 1445 1428 4.44      
34 A" 1443 1425 0.86      
35 A" 1416 1399 4.93      
36 A" 1241 1226 0.23      
37 A" 1227 1212 0.00      
38 A" 1180 1165 0.06      
39 A" 1105 1091 0.47      
40 A" 1092 1079 0.01      
41 A" 963 951 3.34      
42 A" 886 875 0.00      
43 A" 877 866 0.01      
44 A" 781 771 0.17      
45 A" 364 360 0.00      
46 A" 253 249 0.08      
47 A" 245 242 0.01      
48 A" 229 226 0.03      

Unscaled Zero Point Vibrational Energy (zpe) 35514.9 cm-1
Scaled (by 0.9879) Zero Point Vibrational Energy (zpe) 35085.1 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/Def2TZVPP
ABC
0.25888 0.07663 0.06986

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/Def2TZVPP

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.253 0.081 1.083
C2 0.253 0.081 -1.083
C3 -0.659 0.722 0.000
C4 0.852 -0.864 0.000
C5 -0.855 2.231 0.000
C6 0.253 -2.267 0.000
H7 0.995 0.805 1.448
H8 -0.230 -0.390 1.952
H9 0.995 0.805 -1.448
H10 -0.230 -0.390 -1.952
H11 -1.641 0.224 0.000
H12 1.950 -0.937 0.000
H13 0.116 2.747 0.000
H14 -0.847 -2.233 0.000
H15 -1.413 2.564 -0.888
H16 -1.413 2.564 0.888
H17 0.569 -2.832 -0.889
H18 0.569 -2.832 0.889

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.16661.55481.55722.65012.58531.09961.10002.73583.10952.18622.25592.88112.78163.58172.99653.53192.9363
C22.16661.55481.55722.65012.58532.73583.10951.09961.10002.18622.25592.88112.78162.99653.58172.93633.5319
C31.55481.55482.19091.52113.12492.20062.28742.20062.28741.10023.09222.16842.96112.17942.17943.86403.8640
C41.55721.55722.19093.53421.52542.21452.28182.21452.28182.71981.10023.68502.18214.20354.20352.17822.1782
C52.65012.65011.52113.53424.63172.74843.32712.74843.32712.15444.23121.10064.46361.10041.10045.33365.3336
C62.58532.58533.12491.52544.63173.47642.75063.47642.75063.12882.15575.01541.10045.18655.18651.09991.0999
H71.09962.73582.20062.21452.74843.47641.78452.89653.80703.06312.45862.57683.83713.78823.03394.34463.7048
H81.10003.10952.28742.28183.32712.75061.78453.80703.90442.48552.97703.71112.75474.26553.35533.83062.7805
H92.73581.09962.20062.21452.74843.47642.89653.80701.78453.06312.45862.57683.83713.03393.78823.70484.3446
H103.10951.10002.28742.28183.32712.75063.80703.90441.78452.48552.97703.71112.75473.35534.26552.78053.8306
H112.18622.18621.10022.71982.15443.12883.06312.48553.06312.48553.77353.07432.58232.51332.51333.87453.8745
H122.25592.25593.09221.10024.23122.15572.45862.97702.45862.97703.77354.11513.08254.93504.93502.50782.5078
H132.88112.88112.16843.68501.10065.01542.57683.71112.57683.71113.07434.11515.07241.77771.77775.66755.6675
H142.78162.78162.96112.18214.46361.10043.83712.75473.83712.75472.58233.08255.07244.91154.91151.77571.7757
H153.58172.99652.17944.20351.10045.18653.78824.26553.03393.35532.51334.93501.77774.91151.77665.74846.0170
H162.99653.58172.17944.20351.10045.18653.03393.35533.78824.26552.51334.93501.77774.91151.77666.01705.7484
H173.53192.93633.86402.17825.33361.09994.34463.83063.70482.78053.87452.50785.66751.77575.74846.01701.7781
H182.93633.53193.86402.17825.33361.09993.70482.78054.34463.83063.87452.50785.66751.77576.01705.74841.7781

picture of (1r,3r)-1,3-dimethylcyclobutane state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C2 88.334 C1 C3 C5 118.988
C1 C3 H11 109.675 C1 C4 C2 88.163
C1 C4 C6 114.001 C1 C4 H12 115.107
C2 C3 C5 118.988 C2 C3 H11 109.675
C2 C4 C6 114.001 C2 C4 H12 115.107
C3 C1 C4 89.501 C3 C1 H7 110.833
C3 C1 H8 117.982 C3 C2 C4 89.501
C3 C2 H9 110.833 C3 C2 H10 117.982
C3 C5 H13 110.586 C3 C5 H15 111.468
C3 C5 H16 111.468 C4 C1 H7 111.769
C4 C1 H8 117.309 C4 C2 H9 111.769
C4 C2 H10 117.309 C4 C6 H14 111.383
C4 C6 H17 111.103 C4 C6 H18 111.103
C5 C3 H11 109.504 C6 C4 H12 109.308
H7 C1 H8 108.442 H9 C2 H10 108.442
H13 C5 H15 107.742 H13 C5 H16 107.742
H14 C6 H17 107.607 H14 C6 H18 107.607
H15 C5 H16 107.662 H17 C6 H18 107.863
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.159      
2 C -0.159      
3 C 0.082      
4 C 0.084      
5 C -0.270      
6 C -0.280      
7 H 0.041      
8 H 0.056      
9 H 0.041      
10 H 0.056      
11 H 0.033      
12 H 0.040      
13 H 0.063      
14 H 0.072      
15 H 0.075      
16 H 0.075      
17 H 0.075      
18 H 0.075      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.019 -0.012 0.000 0.023
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.002 0.306 0.000
y 0.306 -41.228 0.000
z 0.000 0.000 -40.949
Traceless
 xyz
x 1.087 0.306 0.000
y 0.306 -0.752 0.000
z 0.000 0.000 -0.334
Polar
3z2-r2-0.669
x2-y21.226
xy0.306
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.073 -0.791 0.000
y -0.791 12.394 0.000
z 0.000 0.000 10.598


<r2> (average value of r2) Å2
<r2> 193.314
(<r2>)1/2 13.904