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

using model chemistry: HSEh1PBE/6-31G

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/6-31G
Rotational Constants (cm-1) from geometry optimized at HSEh1PBE/6-31G
See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31G
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at HSEh1PBE/6-31G
 hartrees
Energy at 0K-235.510976
Energy at 298.15K-235.524451
HF Energy-235.510976
Nuclear repulsion energy249.019375
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/6-31G
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' 3149 3013 94.49      
2 A' 3135 2999 26.75      
3 A' 3132 2997 36.71      
4 A' 3097 2963 18.00      
5 A' 3080 2946 8.98      
6 A' 3075 2941 8.71      
7 A' 3049 2917 29.42      
8 A' 3048 2916 35.36      
9 A' 1544 1477 15.84      
10 A' 1541 1474 1.31      
11 A' 1532 1465 1.36      
12 A' 1457 1394 12.65      
13 A' 1454 1391 2.61      
14 A' 1409 1348 0.24      
15 A' 1391 1330 7.22      
16 A' 1309 1252 7.17      
17 A' 1280 1225 0.30      
18 A' 1235 1181 0.72      
19 A' 1167 1117 0.16      
20 A' 1084 1037 0.33      
21 A' 994 951 1.53      
22 A' 967 925 2.07      
23 A' 889 850 1.70      
24 A' 822 786 1.74      
25 A' 665 636 1.86      
26 A' 439 420 0.26      
27 A' 331 317 0.13      
28 A' 89 85 0.01      
29 A" 3143 3006 22.59      
30 A" 3138 3001 25.77      
31 A" 3136 3000 25.67      
32 A" 3076 2943 63.31      
33 A" 1542 1475 5.41      
34 A" 1541 1474 0.65      
35 A" 1516 1450 8.15      
36 A" 1320 1262 0.61      
37 A" 1313 1256 0.12      
38 A" 1259 1204 0.28      
39 A" 1169 1118 1.99      
40 A" 1164 1113 0.00      
41 A" 1028 983 6.07      
42 A" 932 892 0.00      
43 A" 919 879 0.05      
44 A" 839 802 0.23      
45 A" 387 370 0.01      
46 A" 266 254 0.28      
47 A" 252 241 0.00      
48 A" 235 225 0.07      

Unscaled Zero Point Vibrational Energy (zpe) 37267.0 cm-1
Scaled (by 0.9566) Zero Point Vibrational Energy (zpe) 35649.6 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/6-31G
ABC
0.25975 0.07686 0.06988

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.249 0.080 1.086
C2 0.249 0.080 -1.086
C3 -0.662 0.724 0.000
C4 0.846 -0.865 0.000
C5 -0.835 2.232 0.000
C6 0.249 -2.267 0.000
H7 0.990 0.795 1.464
H8 -0.244 -0.394 1.941
H9 0.990 0.795 -1.464
H10 -0.244 -0.394 -1.941
H11 -1.648 0.241 0.000
H12 1.939 -0.934 0.000
H13 0.141 2.733 0.000
H14 -0.848 -2.229 0.000
H15 -1.386 2.569 -0.887
H16 -1.386 2.569 0.887
H17 0.564 -2.829 -0.887
H18 0.564 -2.829 0.887

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.17201.55641.55862.64302.58661.09651.09522.75013.10352.19132.25102.86882.77783.57162.98423.52952.9329
C22.17201.55641.55862.64302.58662.75013.10351.09651.09522.19132.25102.86882.77782.98423.57162.93293.5295
C31.55641.55642.19001.51883.12642.20842.27872.20842.27871.09763.08462.16432.95872.17162.17163.86143.8614
C41.55861.55862.19003.52401.52392.21792.27512.21792.27512.72771.09603.66672.17464.19034.19032.17322.1732
C52.64302.64301.51883.52404.62832.74623.31932.74623.31932.15084.21011.09724.46171.09681.09685.32565.3256
C62.58662.58663.12641.52394.62833.47392.74183.47392.74183.14462.15295.00181.09735.18145.18141.09661.0966
H71.09652.75012.20842.21792.74623.47391.77872.92853.81213.06712.45652.57363.82953.78423.02124.34053.6935
H81.09523.10352.27872.27513.31932.74181.77873.81213.88212.47842.97093.70142.73844.25233.34643.81832.7729
H92.75011.09652.20842.21792.74623.47392.92853.81211.77873.06712.45652.57363.82953.02123.78423.69354.3405
H103.10351.09522.27872.27513.31932.74183.81213.88211.77872.47842.97093.70142.73843.34644.25232.77293.8183
H112.19132.19131.09762.72772.15083.14463.06712.47843.06712.47843.77483.06792.59662.50452.50453.88653.8865
H122.25102.25103.08461.09604.21012.15292.45652.97092.45652.97093.77484.08483.07344.91094.91092.50342.5034
H132.86882.86882.16433.66671.09725.00182.57363.70142.57363.70143.06794.08485.06031.77371.77375.64845.6484
H142.77782.77782.95872.17464.46171.09733.82952.73843.82952.73842.59663.07345.06034.90894.90891.77241.7724
H153.57162.98422.17164.19031.09685.18143.78424.25233.02123.34642.50454.91091.77374.90891.77315.73926.0072
H162.98423.57162.17164.19031.09685.18143.02123.34643.78424.25232.50454.91091.77374.90891.77316.00725.7392
H173.52952.93293.86142.17325.32561.09664.34053.81833.69352.77293.88652.50345.64841.77245.73926.00721.7749
H182.93293.52953.86142.17325.32561.09663.69352.77294.34053.81833.88652.50345.64841.77246.00725.73921.7749

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 88.498 C1 C3 C5 118.509
C1 C3 H11 110.112 C1 C4 C2 88.336
C1 C4 C6 114.087 C1 C4 H12 114.865
C2 C3 C5 118.509 C2 C3 H11 110.112
C2 C4 C6 114.087 C2 C4 H12 114.865
C3 C1 C4 89.342 C3 C1 H7 111.527
C3 C1 H8 117.437 C3 C2 C4 89.342
C3 C2 H9 111.527 C3 C2 H10 117.437
C3 C5 H13 110.620 C3 C5 H15 111.224
C3 C5 H16 111.224 C4 C1 H7 112.123
C4 C1 H8 116.954 C4 C2 H9 112.123
C4 C2 H10 116.954 C4 C6 H14 111.073
C4 C6 H17 111.003 C4 C6 H18 111.003
C5 C3 H11 109.528 C6 C4 H12 109.434
H7 C1 H8 108.493 H9 C2 H10 108.493
H13 C5 H15 107.883 H13 C5 H16 107.883
H14 C6 H17 107.783 H14 C6 H18 107.783
H15 C5 H16 107.863 H17 C6 H18 108.051
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.296      
2 C -0.296      
3 C -0.157      
4 C -0.173      
5 C -0.483      
6 C -0.476      
7 H 0.156      
8 H 0.153      
9 H 0.156      
10 H 0.153      
11 H 0.159      
12 H 0.153      
13 H 0.153      
14 H 0.157      
15 H 0.160      
16 H 0.160      
17 H 0.160      
18 H 0.160      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.030 0.006 0.000 0.031
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.261 0.295 0.000
y 0.295 -39.998 0.000
z 0.000 0.000 -39.976
Traceless
 xyz
x 0.726 0.295 0.000
y 0.295 -0.379 0.000
z 0.000 0.000 -0.347
Polar
3z2-r2-0.694
x2-y20.736
xy0.295
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.393 -0.507 0.000
y -0.507 9.871 0.000
z 0.000 0.000 8.719


<r2> (average value of r2) Å2
<r2> 192.310
(<r2>)1/2 13.868