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

using model chemistry: PBEPBE/aug-cc-pVDZ

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

Conformer 2 (CS)

Jump to S1C1
Energy calculated at PBEPBE/aug-cc-pVDZ
 hartrees
Energy at 0K-235.526527
Energy at 298.15K-235.539719
HF Energy-235.526527
Nuclear repulsion energy247.950218
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/aug-cc-pVDZ
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' 3039 3021 112.03      
2 A' 3032 3014 22.49      
3 A' 3029 3010 24.27      
4 A' 2991 2973 19.55      
5 A' 2980 2962 11.38      
6 A' 2974 2956 6.28      
7 A' 2955 2937 32.68      
8 A' 2952 2934 34.82      
9 A' 1434 1425 6.02      
10 A' 1425 1416 1.87      
11 A' 1421 1413 6.30      
12 A' 1342 1334 5.82      
13 A' 1341 1333 5.61      
14 A' 1321 1313 0.20      
15 A' 1304 1296 9.81      
16 A' 1218 1210 3.72      
17 A' 1204 1196 0.40      
18 A' 1156 1149 0.15      
19 A' 1113 1106 0.33      
20 A' 1020 1014 0.81      
21 A' 925 919 0.91      
22 A' 913 908 0.61      
23 A' 844 839 0.85      
24 A' 785 781 0.89      
25 A' 628 625 1.66      
26 A' 420 417 0.06      
27 A' 318 316 0.11      
28 A' 90 89 0.01      
29 A" 3037 3018 35.32      
30 A" 3034 3015 15.62      
31 A" 3032 3013 18.58      
32 A" 2973 2955 86.21      
33 A" 1422 1414 3.80      
34 A" 1420 1412 0.09      
35 A" 1406 1397 6.18      
36 A" 1231 1224 0.26      
37 A" 1212 1205 0.00      
38 A" 1170 1163 0.05      
39 A" 1098 1091 0.29      
40 A" 1085 1078 0.01      
41 A" 955 949 2.76      
42 A" 888 883 0.00      
43 A" 876 871 0.01      
44 A" 779 774 0.13      
45 A" 366 363 0.00      
46 A" 253 252 0.06      
47 A" 246 244 0.01      
48 A" 226 224 0.02      

Unscaled Zero Point Vibrational Energy (zpe) 35439.4 cm-1
Scaled (by 0.9939) Zero Point Vibrational Energy (zpe) 35223.2 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/aug-cc-pVDZ
ABC
0.25748 0.07619 0.06941

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/aug-cc-pVDZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.252 0.082 1.087
C2 0.252 0.082 -1.087
C3 -0.661 0.726 0.000
C4 0.847 -0.867 0.000
C5 -0.846 2.239 0.000
C6 0.252 -2.277 0.000
H7 1.001 0.803 1.465
H8 -0.244 -0.394 1.953
H9 1.001 0.803 -1.465
H10 -0.244 -0.394 -1.953
H11 -1.653 0.235 0.000
H12 1.951 -0.937 0.000
H13 0.135 2.753 0.000
H14 -0.855 -2.245 0.000
H15 -1.405 2.575 -0.894
H16 -1.405 2.575 0.894
H17 0.573 -2.843 -0.895
H18 0.573 -2.843 0.895

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.17401.55851.56132.65332.59741.10621.10622.75543.11722.19852.25952.88612.79713.58942.99933.54772.9488
C22.17401.55851.56132.65332.59742.75543.11721.10621.10622.19852.25952.88612.79712.99933.58942.94883.5477
C31.55851.55852.19361.52493.13812.21672.28992.21672.28991.10663.09582.17812.97752.18472.18473.88043.8804
C41.56131.56132.19363.53811.52972.22712.28682.22712.28682.73231.10593.69012.18944.20964.20962.18572.1857
C52.65332.65331.52493.53814.64762.76033.33382.76033.33382.16054.23181.10704.48491.10681.10685.35185.3518
C62.59742.59743.13811.52974.64763.49172.75783.49172.75783.15262.16355.03131.10685.20415.20411.10651.1065
H71.10622.75542.21672.22712.76033.49171.79522.92963.82983.08412.46462.58833.85783.80703.04204.36383.7147
H81.10623.11722.28992.28683.33382.75781.79523.82983.90672.48942.98773.72372.75964.27463.35943.84392.7897
H92.75541.10622.21672.22712.76033.49172.92963.82981.79523.08412.46462.58833.85783.04203.80703.71474.3638
H103.11721.10622.28992.28683.33382.75783.82983.90671.79522.48942.98773.72372.75963.35944.27462.78973.8439
H112.19852.19851.10662.73232.16053.15263.08412.48943.08412.48943.78943.08802.60612.51692.51693.90263.9026
H122.25952.25953.09581.10594.23182.16352.46462.98772.46462.98773.78944.11263.09534.93884.93882.51612.5161
H132.88612.88612.17813.69011.10705.03132.58833.72372.58833.72373.08804.11265.09571.78951.78955.68405.6840
H142.79712.79712.97752.18944.48491.10683.85782.75963.85782.75962.60613.09535.09574.93344.93341.78761.7876
H153.58942.99932.18474.20961.10685.20413.80704.27463.04203.35942.51694.93881.78954.93341.78855.76746.0386
H162.99933.58942.18474.20961.10685.20413.04203.35943.80704.27462.51694.93881.78954.93341.78856.03865.7674
H173.54772.94883.88042.18575.35181.10654.36383.84393.71472.78973.90262.51615.68401.78765.76746.03861.7899
H182.94883.54773.88042.18575.35181.10653.71472.78974.36383.84393.90262.51615.68401.78766.03865.76741.7899

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 88.448 C1 C3 C5 118.740
C1 C3 H11 110.006 C1 C4 C2 88.250
C1 C4 C6 114.342 C1 C4 H12 114.739
C2 C3 C5 118.740 C2 C3 H11 110.006
C2 C4 C6 114.342 C2 C4 H12 114.739
C3 C1 C4 89.357 C3 C1 H7 111.460
C3 C1 H8 117.486 C3 C2 C4 89.357
C3 C2 H9 111.460 C3 C2 H10 117.486
C3 C5 H13 110.693 C3 C5 H15 111.230
C3 C5 H16 111.230 C4 C1 H7 112.093
C4 C1 H8 117.008 C4 C2 H9 112.093
C4 C2 H10 117.008 C4 C6 H14 111.271
C4 C6 H17 110.994 C4 C6 H18 110.994
C5 C3 H11 109.342 C6 C4 H12 109.294
H7 C1 H8 108.473 H9 C2 H10 108.473
H13 C5 H15 107.870 H13 C5 H16 107.870
H14 C6 H17 107.735 H14 C6 H18 107.735
H15 C5 H16 107.798 H17 C6 H18 107.956
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 1.461      
2 C 1.461      
3 C 0.176      
4 C 0.249      
5 C 0.495      
6 C 0.544      
7 H -0.487      
8 H -0.535      
9 H -0.487      
10 H -0.535      
11 H -0.646      
12 H -0.700      
13 H -0.201      
14 H -0.183      
15 H -0.129      
16 H -0.129      
17 H -0.177      
18 H -0.177      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.020 -0.018 0.000 0.027
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.221 0.290 0.000
y 0.290 -41.558 0.000
z 0.000 0.000 -41.269
Traceless
 xyz
x 1.192 0.290 0.000
y 0.290 -0.812 0.000
z 0.000 0.000 -0.380
Polar
3z2-r2-0.760
x2-y21.337
xy0.290
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.475 -0.796 0.000
y -0.796 12.952 0.000
z 0.000 0.000 11.120


<r2> (average value of r2) Å2
<r2> 194.552
(<r2>)1/2 13.948