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

using model chemistry: BLYP/6-31G(2df,p)

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/6-31G(2df,p)
Rotational Constants (cm-1) from geometry optimized at BLYP/6-31G(2df,p)
See section I.F.4 to change rotational constant units
Geometric Data calculated at BLYP/6-31G(2df,p)
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at BLYP/6-31G(2df,p)
 hartrees
Energy at 0K-235.699110
Energy at 298.15K-235.712251
HF Energy-235.699110
Nuclear repulsion energy246.802611
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/6-31G(2df,p)
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' 3019 3002 123.96      
2 A' 3010 2993 21.56      
3 A' 3006 2989 25.55      
4 A' 2973 2957 14.01      
5 A' 2961 2945 9.50      
6 A' 2955 2938 16.94      
7 A' 2947 2931 32.21      
8 A' 2945 2929 27.55      
9 A' 1464 1456 6.57      
10 A' 1461 1453 0.57      
11 A' 1454 1446 0.76      
12 A' 1375 1367 1.54      
13 A' 1371 1363 0.47      
14 A' 1338 1330 0.24      
15 A' 1318 1311 16.56      
16 A' 1239 1232 0.74      
17 A' 1215 1208 0.19      
18 A' 1165 1158 0.39      
19 A' 1090 1084 0.56      
20 A' 1014 1008 2.05      
21 A' 935 930 0.98      
22 A' 912 907 0.44      
23 A' 838 834 0.65      
24 A' 769 765 0.42      
25 A' 626 623 1.29      
26 A' 416 413 0.07      
27 A' 310 308 0.08      
28 A' 83 83 0.01      
29 A" 3012 2995 32.13      
30 A" 3009 2992 13.26      
31 A" 3006 2990 30.02      
32 A" 2961 2945 75.92      
33 A" 1463 1455 2.04      
34 A" 1461 1453 0.10      
35 A" 1435 1427 0.68      
36 A" 1254 1247 1.63      
37 A" 1234 1227 0.08      
38 A" 1190 1183 0.15      
39 A" 1111 1105 0.28      
40 A" 1093 1087 0.01      
41 A" 969 963 2.09      
42 A" 869 865 0.00      
43 A" 865 861 0.04      
44 A" 785 781 0.14      
45 A" 364 362 0.01      
46 A" 250 248 0.08      
47 A" 245 244 0.00      
48 A" 229 228 0.03      

Unscaled Zero Point Vibrational Energy (zpe) 35506.1 cm-1
Scaled (by 0.9945) Zero Point Vibrational Energy (zpe) 35310.8 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 BLYP/6-31G(2df,p)
ABC
0.25726 0.07509 0.06819

See section I.F.4 to change rotational constant units
Geometric Data calculated at BLYP/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.242 0.076 1.096
C2 0.242 0.076 -1.096
C3 -0.660 0.745 0.000
C4 0.836 -0.881 0.000
C5 -0.810 2.269 0.000
C6 0.242 -2.298 0.000
H7 0.995 0.777 1.488
H8 -0.267 -0.399 1.949
H9 0.995 0.777 -1.488
H10 -0.267 -0.399 -1.949
H11 -1.660 0.280 0.000
H12 1.935 -0.949 0.000
H13 0.176 2.764 0.000
H14 -0.861 -2.274 0.000
H15 -1.359 2.620 -0.890
H16 -1.359 2.620 0.890
H17 0.561 -2.865 -0.891
H18 0.561 -2.865 0.891

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.19121.56891.57162.66752.61461.10181.10112.78153.12342.20382.26262.90342.81733.60233.01273.56272.9646
C22.19121.56891.57162.66752.61462.78153.12341.10181.10112.20382.26262.90342.81733.01273.60232.96463.5627
C31.56891.56892.20991.53123.17402.22612.29402.22612.29401.10253.09942.18523.02552.18992.18993.91313.9131
C41.57161.57162.20993.55421.53672.23422.29142.23422.29142.75281.10123.70422.19554.22724.22722.19162.1916
C52.66752.66751.53123.55424.68662.77423.34802.77423.34802.16304.22971.10334.54311.10311.10315.38735.3873
C62.61462.61463.17401.53674.68663.49892.76923.49892.76923.20342.16545.06241.10305.24815.24811.10281.1028
H71.10182.78152.22612.23422.77423.49891.78532.97683.84623.08372.46582.61363.86923.81993.04844.37193.7161
H81.10113.12342.29402.29143.34802.76921.78533.84623.89892.49002.99233.74112.76964.28553.38013.85152.8084
H92.78151.10182.22612.23422.77423.49892.97683.84621.78533.08372.46582.61363.86923.04843.81993.71614.3719
H103.12341.10112.29402.29143.34802.76923.84623.89891.78532.49002.99233.74112.76963.38014.28552.80843.8515
H112.20382.20381.10252.75282.16303.20343.08372.49003.08372.49003.79923.08882.67572.52172.52173.95103.9510
H122.26262.26263.09941.10124.22972.16542.46582.99232.46582.99233.79924.10833.09444.93774.93772.52052.5205
H132.90342.90342.18523.70421.10335.06242.61363.74112.61363.74113.08884.10835.14341.78031.78035.71135.7113
H142.81732.81733.02552.19554.54311.10303.86922.76963.86922.76962.67573.09445.14344.99904.99901.77871.7787
H153.60233.01272.18994.22721.10315.24813.81994.28553.04843.38012.52174.93771.78034.99901.78005.81076.0774
H163.01273.60232.18994.22721.10315.24813.04843.38013.81994.28552.52174.93771.78034.99901.78006.07745.8107
H173.56272.96463.91312.19165.38731.10284.37193.85153.71612.80843.95102.52055.71131.77875.81076.07741.7818
H182.96463.56273.91312.19165.38731.10283.71612.80844.37193.85153.95102.52055.71131.77876.07745.81071.7818

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 88.588 C1 C3 C5 118.729
C1 C3 H11 109.946 C1 C4 C2 88.396
C1 C4 C6 114.527 C1 C4 H12 114.527
C2 C3 C5 118.729 C2 C3 H11 109.946
C2 C4 C6 114.527 C2 C4 H12 114.527
C3 C1 C4 89.450 C3 C1 H7 111.732
C3 C1 H8 117.370 C3 C2 C4 89.450
C3 C2 H9 111.732 C3 C2 H10 117.370
C3 C5 H13 111.043 C3 C5 H15 111.430
C3 C5 H16 111.430 C4 C1 H7 112.187
C4 C1 H8 116.942 C4 C2 H9 112.187
C4 C2 H10 116.942 C4 C6 H14 111.498
C4 C6 H17 111.196 C4 C6 H18 111.196
C5 C3 H11 109.349 C6 C4 H12 109.237
H7 C1 H8 108.272 H9 C2 H10 108.272
H13 C5 H15 107.585 H13 C5 H16 107.585
H14 C6 H17 107.490 H14 C6 H18 107.490
H15 C5 H16 107.574 H17 C6 H18 107.776
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.208      
2 C -0.208      
3 C 0.118      
4 C 0.077      
5 C -0.375      
6 C -0.354      
7 H 0.073      
8 H 0.071      
9 H 0.073      
10 H 0.071      
11 H 0.048      
12 H 0.041      
13 H 0.094      
14 H 0.098      
15 H 0.096      
16 H 0.096      
17 H 0.095      
18 H 0.095      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.023 -0.005 0.000 0.024
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.464 0.282 0.000
y 0.282 -40.536 0.000
z 0.000 0.000 -40.212
Traceless
 xyz
x 0.910 0.282 0.000
y 0.282 -0.698 0.000
z 0.000 0.000 -0.212
Polar
3z2-r2-0.425
x2-y21.072
xy0.282
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.914 -0.641 0.000
y -0.641 10.968 0.000
z 0.000 0.000 9.309


<r2> (average value of r2) Å2
<r2> 196.236
(<r2>)1/2 14.008