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

using model chemistry: HSEh1PBE/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 2 yes CS 1A'

Conformer 1 (C2H)

Jump to S1C2
Vibrational Frequencies calculated at HSEh1PBE/3-21G*
Rotational Constants (cm-1) from geometry optimized at HSEh1PBE/3-21G*
See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/3-21G*
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at HSEh1PBE/3-21G*
 hartrees
Energy at 0K-234.295643
Energy at 298.15K-234.309116
HF Energy-234.295643
Nuclear repulsion energy249.125266
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 HSEh1PBE/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 A' 3162 3035 53.83      
2 A' 3136 3011 41.11      
3 A' 3132 3006 25.53      
4 A' 3114 2989 4.48      
5 A' 3102 2978 3.84      
6 A' 3091 2967 2.89      
7 A' 3054 2931 21.97      
8 A' 3053 2931 24.67      
9 A' 1562 1499 14.35      
10 A' 1559 1496 5.20      
11 A' 1530 1469 0.93      
12 A' 1460 1401 18.74      
13 A' 1456 1398 1.80      
14 A' 1395 1339 0.08      
15 A' 1372 1317 5.40      
16 A' 1302 1250 8.94      
17 A' 1271 1220 4.65      
18 A' 1222 1173 1.39      
19 A' 1138 1092 0.17      
20 A' 1064 1021 0.63      
21 A' 997 957 2.31      
22 A' 965 926 2.96      
23 A' 878 843 2.29      
24 A' 814 782 2.11      
25 A' 669 642 2.07      
26 A' 431 413 0.38      
27 A' 325 312 0.14      
28 A' 98 94 0.02      
29 A" 3156 3029 9.67      
30 A" 3127 3002 25.40      
31 A" 3126 3000 19.33      
32 A" 3088 2965 43.69      
33 A" 1560 1497 6.24      
34 A" 1559 1496 0.87      
35 A" 1511 1450 8.92      
36 A" 1304 1251 0.10      
37 A" 1297 1245 0.00      
38 A" 1245 1195 0.26      
39 A" 1166 1120 1.59      
40 A" 1156 1109 0.29      
41 A" 1035 993 8.68      
42 A" 913 877 0.00      
43 A" 898 862 0.01      
44 A" 818 785 0.38      
45 A" 389 373 0.02      
46 A" 275 264 0.44      
47 A" 262 251 0.01      
48 A" 237 228 0.17      

Unscaled Zero Point Vibrational Energy (zpe) 37234.9 cm-1
Scaled (by 0.9599) Zero Point Vibrational Energy (zpe) 35741.8 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 HSEh1PBE/3-21G*
ABC
0.25395 0.07782 0.07094

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/3-21G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.252 0.081 1.093
C2 0.252 0.081 -1.093
C3 -0.673 0.710 0.000
C4 0.865 -0.857 0.000
C5 -0.850 2.220 0.000
C6 0.252 -2.251 0.000
H7 0.985 0.810 1.458
H8 -0.236 -0.404 1.945
H9 0.985 0.810 -1.458
H10 -0.236 -0.404 -1.945
H11 -1.650 0.210 0.000
H12 1.959 -0.920 0.000
H13 0.129 2.717 0.000
H14 -0.844 -2.192 0.000
H15 -1.402 2.549 -0.889
H16 -1.402 2.549 0.889
H17 0.564 -2.813 -0.890
H18 0.564 -2.813 0.890

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.18611.56401.56592.64212.57601.09631.09472.75303.11462.19722.26052.85602.75023.57142.97803.52182.9177
C22.18611.56401.56592.64212.57602.75303.11461.09631.09472.19722.26052.85602.75022.97803.57142.91773.5218
C31.56401.56402.19641.51993.10252.21042.28322.21042.28321.09683.09572.16142.90692.16892.16893.83813.8381
C41.56591.56592.19643.52251.52322.21862.28042.21862.28042.73231.09513.64922.16904.18764.18762.16932.1693
C52.64212.64211.51993.52254.60472.73443.32262.73443.32262.16294.21201.09774.41151.09741.09745.30215.3021
C62.57602.57603.10251.52324.60473.46962.72643.46962.72643.11062.16504.96991.09775.15475.15471.09731.0973
H71.09632.75302.21042.21862.73443.46961.78902.91703.81383.07032.46352.54843.80593.77243.00754.33783.6913
H81.09473.11462.28322.28043.32262.72641.78903.81383.88912.48122.97743.69502.71084.25533.34573.80472.7486
H92.75301.09632.21042.21862.73443.46962.91703.81381.78903.07032.46352.54843.80593.00753.77243.69134.3378
H103.11461.09472.28322.28043.32262.72643.81383.88911.78902.48122.97743.69502.71083.34574.25532.74863.8047
H112.19722.19721.09682.73232.16293.11063.07032.48123.07032.48123.78123.07372.53362.51432.51433.85093.8509
H122.26052.26053.09571.09514.21202.16502.46352.97742.46352.97743.78124.07093.07834.91114.91112.51422.5142
H132.85602.85602.16143.64921.09774.96992.54843.69502.54843.69503.07374.07095.00441.77861.77865.61755.6175
H142.75022.75022.90692.16904.41151.09773.80592.71083.80592.71082.53363.07835.00444.85584.85581.77761.7776
H153.57142.97802.16894.18761.09745.15473.77244.25533.00753.34572.51434.91111.77864.85581.77785.71085.9814
H162.97803.57142.16894.18761.09745.15473.00753.34573.77244.25532.51434.91111.77864.85581.77785.98145.7108
H173.52182.91773.83812.16935.30211.09734.33783.80473.69132.74863.85092.51425.61751.77765.71085.98141.7796
H182.91773.52183.83812.16935.30211.09733.69132.74864.33783.80473.85092.51425.61751.77765.98145.71081.7796

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 88.674 C1 C3 C5 117.894
C1 C3 H11 110.088 C1 C4 C2 88.543
C1 C4 C6 113.000 C1 C4 H12 115.168
C2 C3 C5 117.894 C2 C3 H11 110.088
C2 C4 C6 113.000 C2 C4 H12 115.168
C3 C1 C4 89.132 C3 C1 H7 111.160
C3 C1 H8 117.255 C3 C2 C4 89.132
C3 C2 H9 111.160 C3 C2 H10 117.255
C3 C5 H13 110.286 C3 C5 H15 110.892
C3 C5 H16 110.892 C4 C1 H7 111.678
C4 C1 H8 116.879 C4 C2 H9 111.678
C4 C2 H10 116.879 C4 C6 H14 110.646
C4 C6 H17 110.706 C4 C6 H18 110.706
C5 C3 H11 110.449 C6 C4 H12 110.493
H7 C1 H8 109.471 H9 C2 H10 109.471
H13 C5 H15 108.243 H13 C5 H16 108.243
H14 C6 H17 108.160 H14 C6 H18 108.160
H15 C5 H16 108.189 H17 C6 H18 108.369
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.374      
2 C -0.374      
3 C -0.267      
4 C -0.296      
5 C -0.612      
6 C -0.594      
7 H 0.214      
8 H 0.204      
9 H 0.214      
10 H 0.204      
11 H 0.218      
12 H 0.207      
13 H 0.204      
14 H 0.208      
15 H 0.211      
16 H 0.211      
17 H 0.210      
18 H 0.210      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.038 0.024 0.000 0.045
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.336 0.401 0.000
y 0.401 -39.949 0.000
z 0.000 0.000 -39.980
Traceless
 xyz
x 0.629 0.401 0.000
y 0.401 -0.291 0.000
z 0.000 0.000 -0.338
Polar
3z2-r2-0.675
x2-y20.613
xy0.401
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.010 -0.559 0.000
y -0.559 9.485 0.000
z 0.000 0.000 8.311


<r2> (average value of r2) Å2
<r2> 190.690
(<r2>)1/2 13.809