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

using model chemistry: mPW1PW91/6-31G**

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 mPW1PW91/6-31G**
Rotational Constants (cm-1) from geometry optimized at mPW1PW91/6-31G**
See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G**
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at mPW1PW91/6-31G**
 hartrees
Energy at 0K-235.809553
Energy at 298.15K-235.822956
HF Energy-235.809553
Nuclear repulsion energy249.949923
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 mPW1PW91/6-31G**
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' 3143 2990 107.18      
2 A' 3137 2985 12.75      
3 A' 3133 2981 24.99      
4 A' 3093 2943 20.93      
5 A' 3081 2932 12.22      
6 A' 3076 2927 6.80      
7 A' 3057 2909 30.22      
8 A' 3056 2908 28.36      
9 A' 1518 1445 8.89      
10 A' 1512 1438 1.75      
11 A' 1508 1435 2.56      
12 A' 1428 1358 7.56      
13 A' 1426 1357 1.79      
14 A' 1393 1325 0.56      
15 A' 1377 1310 10.17      
16 A' 1294 1231 1.84      
17 A' 1266 1205 0.51      
18 A' 1211 1152 0.29      
19 A' 1153 1097 0.33      
20 A' 1064 1013 0.42      
21 A' 970 923 1.28      
22 A' 956 910 1.03      
23 A' 878 835 1.36      
24 A' 818 778 1.10      
25 A' 650 619 1.94      
26 A' 428 407 0.15      
27 A' 327 311 0.13      
28 A' 97 92 0.01      
29 A" 3141 2989 33.01      
30 A" 3139 2987 25.29      
31 A" 3134 2982 8.76      
32 A" 3075 2926 68.22      
33 A" 1514 1440 3.73      
34 A" 1511 1438 0.20      
35 A" 1485 1413 3.35      
36 A" 1307 1244 0.73      
37 A" 1284 1221 0.00      
38 A" 1246 1185 0.12      
39 A" 1156 1100 0.74      
40 A" 1143 1088 0.05      
41 A" 1006 957 4.02      
42 A" 927 882 0.00      
43 A" 918 874 0.00      
44 A" 814 774 0.38      
45 A" 376 357 0.01      
46 A" 260 248 0.16      
47 A" 255 243 0.00      
48 A" 237 225 0.06      

Unscaled Zero Point Vibrational Energy (zpe) 36987.7 cm-1
Scaled (by 0.9515) Zero Point Vibrational Energy (zpe) 35193.8 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 mPW1PW91/6-31G**
ABC
0.26025 0.07736 0.07062

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.263 0.090 1.077
C2 0.263 0.090 -1.077
C3 -0.661 0.705 0.000
C4 0.859 -0.852 0.000
C5 -0.887 2.203 0.000
C6 0.263 -2.250 0.000
H7 0.999 0.818 1.433
H8 -0.208 -0.378 1.947
H9 0.999 0.818 -1.433
H10 -0.208 -0.378 -1.947
H11 -1.627 0.188 0.000
H12 1.951 -0.921 0.000
H13 0.067 2.740 0.000
H14 -0.831 -2.218 0.000
H15 -1.448 2.523 -0.884
H16 -1.448 2.523 0.884
H17 0.577 -2.813 -0.884
H18 0.577 -2.813 0.884

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.15431.54701.54922.63642.57581.09451.09412.71503.09582.17802.24252.86812.77203.56282.98113.51732.9259
C22.15431.54701.54922.63642.57582.71503.09581.09451.09412.17802.24252.86812.77202.98113.56282.92593.5173
C31.54701.54702.17521.51533.09632.19552.27312.19552.27311.09543.07652.16192.92812.16902.16903.83293.8329
C41.54921.54922.17523.51821.52022.20462.26972.20462.26972.69441.09443.67812.17334.18184.18182.17012.1701
C52.63642.63641.51533.51824.59962.74353.30342.74353.30342.14654.22051.09494.42191.09441.09445.29985.2998
C62.57582.57583.09631.52024.59963.46532.74173.46532.74173.08552.14824.99451.09485.14695.14691.09421.0942
H71.09452.71502.19552.20462.74353.46531.77522.86563.78253.05672.44622.57223.82373.77603.03224.32823.6965
H81.09413.09582.27312.26973.30342.74171.77523.78253.89322.47452.95733.68652.75034.23813.32893.81592.7703
H92.71501.09452.19552.20462.74353.46532.86563.78251.77523.05672.44622.57223.82373.03223.77603.69654.3282
H103.09581.09412.27312.26973.30342.74173.78253.89321.77522.47452.95733.68652.75033.32894.23812.77033.8159
H112.17802.17801.09542.69442.14653.08553.05672.47453.05672.47453.74593.06322.53492.50232.50233.82743.8274
H122.24252.24253.07651.09444.22052.14822.44622.95732.44622.95733.74594.11753.06964.91864.91862.50002.5000
H132.86812.86812.16193.67811.09494.99452.57223.68652.57223.68653.06324.11755.03951.76761.76765.64665.6466
H142.77202.77202.92812.17334.42191.09483.82372.75033.82372.75032.53493.06965.03954.86194.86191.76591.7659
H153.56282.98112.16904.18181.09445.14693.77604.23813.03223.32892.50234.91861.76764.86191.76715.70725.9747
H162.98113.56282.16904.18181.09445.14693.03223.32893.77604.23812.50234.91861.76764.86191.76715.97475.7072
H173.51732.92593.83292.17015.29981.09424.32823.81593.69652.77033.82742.50005.64661.76595.70725.97471.7688
H182.92593.51733.83292.17015.29981.09423.69652.77034.32823.81593.82742.50005.64661.76595.97475.70721.7688

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 88.255 C1 C3 C5 118.839
C1 C3 H11 109.840 C1 C4 C2 88.097
C1 C4 C6 114.105 C1 C4 H12 114.963
C2 C3 C5 118.839 C2 C3 H11 109.840
C2 C4 C6 114.105 C2 C4 H12 114.963
C3 C1 C4 89.261 C3 C1 H7 111.278
C3 C1 H8 117.761 C3 C2 C4 89.261
C3 C2 H9 111.278 C3 C2 H10 117.761
C3 C5 H13 110.814 C3 C5 H15 111.413
C3 C5 H16 111.413 C4 C1 H7 111.845
C4 C1 H8 117.296 C4 C2 H9 111.845
C4 C2 H10 117.296 C4 C6 H14 111.385
C4 C6 H17 111.167 C4 C6 H18 111.167
C5 C3 H11 109.559 C6 C4 H12 109.418
H7 C1 H8 108.409 H9 C2 H10 108.409
H13 C5 H15 107.677 H13 C5 H16 107.677
H14 C6 H17 107.546 H14 C6 H18 107.546
H15 C5 H16 107.667 H17 C6 H18 107.847
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.232      
2 C -0.232      
3 C -0.115      
4 C -0.132      
5 C -0.392      
6 C -0.387      
7 H 0.122      
8 H 0.119      
9 H 0.122      
10 H 0.119      
11 H 0.124      
12 H 0.117      
13 H 0.123      
14 H 0.125      
15 H 0.130      
16 H 0.130      
17 H 0.130      
18 H 0.130      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.023 0.003 0.000 0.023
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -38.933 0.335 0.000
y 0.335 -39.765 0.000
z 0.000 0.000 -39.615
Traceless
 xyz
x 0.757 0.335 0.000
y 0.335 -0.491 0.000
z 0.000 0.000 -0.266
Polar
3z2-r2-0.532
x2-y20.832
xy0.335
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.562 -0.579 0.000
y -0.579 10.156 0.000
z 0.000 0.000 8.865


<r2> (average value of r2) Å2
<r2> 190.895
(<r2>)1/2 13.816