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All results from a given calculation for C4H4N (pyrrolide radical)

using model chemistry: mPW1PW91/aug-cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2A2
Energy calculated at mPW1PW91/aug-cc-pVDZ
 hartrees
Energy at 0K-209.487915
Energy at 298.15K-209.492487
HF Energy-209.487915
Nuclear repulsion energy150.910575
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/aug-cc-pVDZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 3284 3147 1.18      
2 A1 3236 3101 0.81      
3 A1 1581 1515 1.13      
4 A1 1463 1402 26.21      
5 A1 1213 1163 2.12      
6 A1 1098 1052 39.23      
7 A1 1052 1008 0.34      
8 A1 878 841 10.89      
9 A2 907 869 0.00      
10 A2 834 799 0.00      
11 A2 496 475 0.00      
12 B1 843 808 0.08      
13 B1 708 679 71.33      
14 B1 542 519 20.07      
15 B2 3263 3127 5.06      
16 B2 3232 3097 15.24      
17 B2 1361 1304 50.68      
18 B2 1288 1234 0.07      
19 B2 1098 1053 2.62      
20 B2 946 907 0.00      
21 B2 696 667 8.22      

Unscaled Zero Point Vibrational Energy (zpe) 15009.5 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 14383.6 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 mPW1PW91/aug-cc-pVDZ
ABC
0.33303 0.29427 0.15623

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/aug-cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 1.246
C2 0.000 1.062 0.424
C3 0.000 -1.062 0.424
C4 0.000 0.681 -0.982
C5 0.000 -0.681 -0.982
H6 0.000 2.077 0.820
H7 0.000 -2.077 0.820
H8 0.000 1.357 -1.832
H9 0.000 -1.357 -1.832

Atom - Atom Distances (Å)
  N1 C2 C3 C4 C5 H6 H7 H8 H9
N11.34321.34322.33032.33032.12012.12013.36403.3640
C21.34322.12461.45732.24001.08903.16402.27543.3079
C31.34322.12462.24001.45733.16401.08903.30792.2754
C42.33031.45732.24001.36222.27963.29461.08552.2077
C52.33032.24001.45731.36223.29462.27962.20771.0855
H62.12011.08903.16402.27963.29464.15372.74814.3384
H72.12013.16401.08903.29462.27964.15374.33842.7481
H83.36402.27543.30791.08552.20772.74814.33842.7132
H93.36403.30792.27542.20771.08554.33842.74812.7132

picture of pyrrolide radical state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 C4 112.567 N1 C2 H6 120.962
N1 C3 C5 112.567 N1 C3 H7 120.962
C2 N1 C3 104.537 C2 C4 C5 105.164
C2 C4 H8 126.353 C3 C5 C4 105.164
C3 C5 H9 126.353 C4 C2 H6 126.471
C4 C5 H9 128.483 C5 C3 H7 126.471
C5 C4 H8 128.483
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.419      
2 C 0.111      
3 C 0.111      
4 C 0.788      
5 C 0.788      
6 H -0.300      
7 H -0.300      
8 H -0.390      
9 H -0.390      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 -2.115 2.115
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.481 0.000 0.000
y 0.000 -23.131 0.000
z 0.000 0.000 -32.002
Traceless
 xyz
x -3.915 0.000 0.000
y 0.000 8.611 0.000
z 0.000 0.000 -4.696
Polar
3z2-r2-9.392
x2-y2-8.350
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.121 0.000 0.000
y 0.000 9.214 0.000
z 0.000 0.000 8.253


<r2> (average value of r2) Å2
<r2> 82.117
(<r2>)1/2 9.062