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

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

Conformer 2 (CS)

Jump to S1C1
Energy calculated at LSDA/3-21G
 hartrees
Energy at 0K-233.261948
Energy at 298.15K-233.275360
HF Energy-233.261948
Nuclear repulsion energy250.390038
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 LSDA/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' 3077 3026 33.79      
2 A' 3057 3007 32.71      
3 A' 3049 2999 18.64      
4 A' 3029 2979 8.13      
5 A' 3012 2962 8.14      
6 A' 3001 2952 1.33      
7 A' 2973 2924 17.18      
8 A' 2969 2920 18.43      
9 A' 1497 1473 18.34      
10 A' 1492 1467 7.26      
11 A' 1465 1441 1.31      
12 A' 1398 1375 27.54      
13 A' 1391 1369 6.67      
14 A' 1349 1327 0.05      
15 A' 1319 1298 3.77      
16 A' 1254 1234 11.28      
17 A' 1223 1203 11.82      
18 A' 1191 1171 2.05      
19 A' 1134 1115 0.16      
20 A' 1043 1026 0.28      
21 A' 964 948 3.02      
22 A' 948 933 4.15      
23 A' 864 850 3.08      
24 A' 811 798 2.77      
25 A' 657 646 3.20      
26 A' 424 417 0.31      
27 A' 325 320 0.21      
28 A' 126 124 0.03      
29 A" 3072 3022 10.36      
30 A" 3055 3005 15.37      
31 A" 3053 3003 13.37      
32 A" 2999 2950 32.28      
33 A" 1495 1471 4.94      
34 A" 1494 1470 4.52      
35 A" 1443 1419 14.37      
36 A" 1250 1229 0.10      
37 A" 1246 1226 0.01      
38 A" 1195 1176 0.31      
39 A" 1118 1099 0.00      
40 A" 1114 1095 1.91      
41 A" 995 978 10.51      
42 A" 900 885 0.04      
43 A" 882 867 0.04      
44 A" 793 780 0.59      
45 A" 374 368 0.01      
46 A" 276 272 0.45      
47 A" 262 258 0.05      
48 A" 231 227 0.28      

Unscaled Zero Point Vibrational Energy (zpe) 36143.1 cm-1
Scaled (by 0.9836) Zero Point Vibrational Energy (zpe) 35550.4 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 LSDA/3-21G
ABC
0.25091 0.07954 0.07294

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.255 0.084 1.087
C2 0.255 0.084 -1.087
C3 -0.672 0.697 0.000
C4 0.869 -0.847 0.000
C5 -0.862 2.194 0.000
C6 0.255 -2.229 0.000
H7 0.987 0.828 1.451
H8 -0.230 -0.408 1.947
H9 0.987 0.828 -1.451
H10 -0.230 -0.408 -1.947
H11 -1.650 0.181 0.000
H12 1.970 -0.909 0.000
H13 0.122 2.699 0.000
H14 -0.849 -2.159 0.000
H15 -1.420 2.522 -0.896
H16 -1.420 2.522 0.896
H17 0.565 -2.795 -0.897
H18 0.565 -2.795 0.897

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.17471.55531.55752.62332.55621.10471.10302.74443.11212.19602.26042.83472.72593.56102.96393.51052.9022
C22.17471.55531.55752.62332.55622.74443.11211.10471.10302.19602.26042.83472.72592.96393.56102.90223.5105
C31.55531.55532.18171.50893.06992.20822.28212.20822.28211.10563.09242.15352.86112.16562.16563.81223.8122
C41.55751.55752.18173.49901.51212.21922.27842.21922.27842.72051.10353.62342.16074.16994.16992.16592.1659
C52.62332.62331.50893.49904.56222.71833.31062.71833.31062.16214.20081.10584.35271.10511.10515.26635.2663
C62.55622.55623.06991.51214.56223.46212.71003.46212.71003.07242.16464.92971.10615.11665.11661.10501.1050
H71.10472.74442.20822.21922.71833.46211.80372.90223.81513.07862.46732.52053.79373.76422.99504.33783.6892
H81.10303.11212.28212.27843.31062.71001.80373.81513.89422.48082.98053.68312.69054.25203.33213.79752.7267
H92.74441.10472.20822.21922.71833.46212.90223.81511.80373.07862.46732.52053.79372.99503.76423.68924.3378
H103.11211.10302.28212.27843.31062.71003.81513.89421.80372.48082.98053.68312.69053.33214.25202.72673.7975
H112.19602.19601.10562.72052.16213.07243.07862.48083.07862.48083.78093.07902.47302.51682.51683.81713.8171
H122.26042.26043.09241.10354.20082.16462.46732.98052.46732.98053.78094.05303.08364.90544.90542.51742.5174
H132.83472.83472.15353.62341.10584.92972.52053.68312.52053.68313.07904.05304.95331.79231.79235.58415.5841
H142.72592.72592.86112.16074.35271.10613.79372.69053.79372.69052.47303.08364.95334.79934.79931.79141.7914
H153.56102.96392.16564.16991.10515.11663.76424.25202.99503.33212.51684.90541.79234.79931.79155.67545.9518
H162.96393.56102.16564.16991.10515.11662.99503.33213.76424.25202.51684.90541.79234.79931.79155.95185.6754
H173.51052.90223.81222.16595.26631.10504.33783.79753.68922.72673.81712.51745.58411.79145.67545.95181.7939
H182.90223.51053.81222.16595.26631.10503.68922.72674.33783.79753.81712.51745.58411.79145.95185.67541.7939

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 88.717 C1 C3 C5 117.765
C1 C3 H11 110.087 C1 C4 C2 88.558
C1 C4 C6 112.755 C1 C4 H12 115.245
C2 C3 C5 117.765 C2 C3 H11 110.087
C2 C4 C6 112.755 C2 C4 H12 115.245
C3 C1 C4 88.996 C3 C1 H7 111.092
C3 C1 H8 117.279 C3 C2 C4 88.996
C3 C2 H9 111.092 C3 C2 H10 117.279
C3 C5 H13 109.943 C3 C5 H15 110.940
C3 C5 H16 110.940 C4 C1 H7 111.811
C4 C1 H8 116.793 C4 C2 H9 111.811
C4 C2 H10 116.793 C4 C6 H14 110.264
C4 C6 H17 110.749 C4 C6 H18 110.749
C5 C3 H11 110.634 C6 C4 H12 110.736
H7 C1 H8 109.566 H9 C2 H10 109.566
H13 C5 H15 108.318 H13 C5 H16 108.318
H14 C6 H17 108.231 H14 C6 H18 108.231
H15 C5 H16 108.297 H17 C6 H18 108.534
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.368      
2 C -0.368      
3 C -0.243      
4 C -0.277      
5 C -0.623      
6 C -0.602      
7 H 0.208      
8 H 0.199      
9 H 0.208      
10 H 0.199      
11 H 0.210      
12 H 0.199      
13 H 0.203      
14 H 0.208      
15 H 0.213      
16 H 0.213      
17 H 0.211      
18 H 0.211      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.065 0.038 0.000 0.075
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.381 0.353 0.000
y 0.353 -39.737 0.000
z 0.000 0.000 -39.930
Traceless
 xyz
x 0.453 0.353 0.000
y 0.353 -0.082 0.000
z 0.000 0.000 -0.371
Polar
3z2-r2-0.742
x2-y20.356
xy0.353
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.210 -0.579 0.000
y -0.579 9.686 0.000
z 0.000 0.000 8.446


<r2> (average value of r2) Å2
<r2> 187.605
(<r2>)1/2 13.697