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

using model chemistry: BLYP/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 BLYP/3-21G*
Rotational Constants (cm-1) from geometry optimized at BLYP/3-21G*
See section I.F.4 to change rotational constant units
Geometric Data calculated at BLYP/3-21G*
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at BLYP/3-21G*
 hartrees
Energy at 0K-234.404225
Energy at 298.15K-234.417406
HF Energy-234.404225
Nuclear repulsion energy245.592038
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 BLYP/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' 3053 3033 78.49      
2 A' 3026 3007 47.64      
3 A' 3020 3001 32.41      
4 A' 3004 2984 6.46      
5 A' 2991 2972 4.72      
6 A' 2987 2968 3.42      
7 A' 2960 2941 28.32      
8 A' 2958 2938 28.57      
9 A' 1531 1521 8.51      
10 A' 1528 1519 4.05      
11 A' 1502 1492 0.51      
12 A' 1424 1415 6.64      
13 A' 1420 1411 0.71      
14 A' 1353 1344 0.10      
15 A' 1332 1324 8.75      
16 A' 1257 1249 3.42      
17 A' 1224 1216 2.30      
18 A' 1176 1168 1.04      
19 A' 1072 1065 0.22      
20 A' 1014 1007 1.78      
21 A' 963 956 2.32      
22 A' 919 913 1.36      
23 A' 838 832 1.36      
24 A' 762 757 1.15      
25 A' 639 635 1.42      
26 A' 416 414 0.30      
27 A' 309 307 0.08      
28 A' 81 80 0.02      
29 A" 3046 3026 9.80      
30 A" 3016 2996 34.34      
31 A" 3013 2994 28.45      
32 A" 2988 2969 54.23      
33 A" 1529 1519 2.42      
34 A" 1526 1517 1.91      
35 A" 1485 1476 3.40      
36 A" 1264 1255 0.45      
37 A" 1252 1244 0.11      
38 A" 1199 1191 0.32      
39 A" 1132 1125 1.13      
40 A" 1112 1105 0.26      
41 A" 1003 997 5.59      
42 A" 854 848 0.03      
43 A" 848 842 0.06      
44 A" 789 784 0.20      
45 A" 375 372 0.02      
46 A" 260 258 0.29      
47 A" 248 247 0.09      
48 A" 228 226 0.06      

Unscaled Zero Point Vibrational Energy (zpe) 35962.5 cm-1
Scaled (by 0.9935) Zero Point Vibrational Energy (zpe) 35728.7 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 BLYP/3-21G*
ABC
0.25180 0.07493 0.06794

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.235 0.071 1.112
C2 0.235 0.071 -1.112
C3 -0.682 0.742 0.000
C4 0.857 -0.882 0.000
C5 -0.790 2.278 0.000
C6 0.235 -2.297 0.000
H7 0.977 0.788 1.499
H8 -0.279 -0.428 1.947
H9 0.977 0.788 -1.499
H10 -0.279 -0.428 -1.947
H11 -1.683 0.281 0.000
H12 1.956 -0.940 0.000
H13 0.216 2.732 0.000
H14 -0.867 -2.235 0.000
H15 -1.330 2.636 -0.894
H16 -1.330 2.636 0.894
H17 0.548 -2.863 -0.895
H18 0.548 -2.863 0.895

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.22351.59001.59072.67582.61541.10191.10042.80693.14152.22732.28472.88452.78693.61373.01373.56832.9585
C22.22351.59001.59072.67582.61542.80693.14151.10191.10042.22732.28472.88452.78693.01373.61372.95853.5683
C31.59001.59002.23751.53983.17412.23612.30712.23612.30711.10223.12912.18362.98272.19302.19303.91293.9129
C41.59071.59072.23753.56371.54502.24732.29922.24732.29922.79371.10093.67092.19114.23854.23852.19572.1957
C52.67582.67581.53983.56374.68822.75473.37292.75473.37292.18764.23101.10414.51371.10451.10455.38745.3874
C62.61542.61543.17411.54504.68823.50892.74703.50892.74703.21322.19115.02901.10385.25235.25231.10431.1043
H71.10192.80692.23612.24732.75473.50891.80472.99733.86373.09502.48862.56993.84503.80343.01754.38713.7258
H81.10043.14152.30712.29923.37292.74701.80473.86373.89402.50333.00803.74492.72054.30943.40693.83262.7783
H92.80691.10192.23612.24732.75473.50892.99733.86371.80473.09502.48862.56993.84503.01753.80343.72584.3871
H103.14151.10042.30712.29923.37292.74703.86373.89401.80472.50333.00803.74492.72053.40694.30942.77833.8326
H112.22732.22731.10222.79372.18763.21323.09502.50333.09502.50333.83903.10102.64512.54412.54413.95783.9578
H122.28472.28473.12911.10094.23102.19112.48863.00802.48863.00803.83904.06423.10574.93934.93932.54602.5460
H132.88452.88452.18363.67091.10415.02902.56993.74492.56993.74493.10104.06425.08391.78901.78905.67645.6764
H142.78692.78692.98272.19114.51371.10383.84502.72053.84502.72052.64513.10575.08394.97454.97451.78781.7878
H153.61373.01372.19304.23851.10455.25233.80344.30943.01753.40692.54414.93931.78904.97451.78845.81166.0808
H163.01373.61372.19304.23851.10455.25233.01753.40693.80344.30942.54414.93931.78904.97451.78846.08085.8116
H173.56832.95853.91292.19575.38741.10434.38713.83263.72582.77833.95782.54605.67641.78785.81166.08081.7899
H182.95853.56833.91292.19575.38741.10433.72582.77834.38713.83263.95782.54605.67641.78786.08085.81161.7899

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 88.722 C1 C3 C5 117.493
C1 C3 H11 110.336 C1 C4 C2 88.678
C1 C4 C6 113.033 C1 C4 H12 114.953
C2 C3 C5 117.493 C2 C3 H11 110.336
C2 C4 C6 113.033 C2 C4 H12 114.953
C3 C1 C4 89.409 C3 C1 H7 111.034
C3 C1 H8 116.912 C3 C2 C4 89.409
C3 C2 H9 111.034 C3 C2 H10 116.912
C3 C5 H13 110.271 C3 C5 H15 110.982
C3 C5 H16 110.982 C4 C1 H7 111.871
C4 C1 H8 116.194 C4 C2 H9 111.871
C4 C2 H10 116.194 C4 C6 H14 110.518
C4 C6 H17 110.851 C4 C6 H18 110.851
C5 C3 H11 110.699 C6 C4 H12 110.688
H7 C1 H8 110.059 H9 C2 H10 110.059
H13 C5 H15 108.196 H13 C5 H16 108.196
H14 C6 H17 108.125 H14 C6 H18 108.125
H15 C5 H16 108.112 H17 C6 H18 108.269
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.309      
2 C -0.309      
3 C -0.186      
4 C -0.209      
5 C -0.517      
6 C -0.502      
7 H 0.172      
8 H 0.163      
9 H 0.172      
10 H 0.163      
11 H 0.170      
12 H 0.161      
13 H 0.169      
14 H 0.172      
15 H 0.173      
16 H 0.173      
17 H 0.172      
18 H 0.172      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.033 0.016 0.000 0.037
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.598 0.324 0.000
y 0.324 -40.270 0.000
z 0.000 0.000 -40.262
Traceless
 xyz
x 0.668 0.324 0.000
y 0.324 -0.341 0.000
z 0.000 0.000 -0.328
Polar
3z2-r2-0.656
x2-y20.673
xy0.324
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.177 -0.571 0.000
y -0.571 9.913 0.000
z 0.000 0.000 8.532


<r2> (average value of r2) Å2
<r2> 196.868
(<r2>)1/2 14.031