J/A+AS/117/561 J/A+AS/117/561 Rovibrational dipole matrix elements for CO J M Hure E Roueff Astron. Astrophys. Suppl. Ser. 117 561 1996 1996A&AS..117..561H Atomic physics ISM: molecules molecular data Expansion coefficients of the polynomial expansion representing the transition D-values for the {DELTA}v=1 band and the ^12^C^16^O isotope. Results are obtained using the Electric Dipole Moment Function EDMF2 (Langhoff & Bauschlicher 1995, J. Chem. Phys. 102, 5220). The fits are better than 1% when |m|<=m_max_.

v'' Lower vibrational quantum number --- [m_max_] Rotationless transition matrix element D a0 Constant for n=DELTAv number=1 Each sequence and each vibrational band have been fitted with a fourth order polynomial form by using a numerical minimax procedure from the Nag mathematical library as a function of m=[J'(J'+1)-J"(J"+1)]/2, v" and {DELTA}v=n D^v"^_n_(m)=<v"+n, J"|M|v", J"> =a0(v",n)+a1(v",n)m+a2(v",n)m^2^+a3(v",n)m^3^+a4(v",n)m^4^ --- a1 First-order coefficient for n=DELTAv number=1 Each sequence and each vibrational band have been fitted with a fourth order polynomial form by using a numerical minimax procedure from the Nag mathematical library as a function of m=[J'(J'+1)-J"(J"+1)]/2, v" and {DELTA}v=n D^v"^_n_(m)=<v"+n, J"|M|v", J"> =a0(v",n)+a1(v",n)m+a2(v",n)m^2^+a3(v",n)m^3^+a4(v",n)m^4^ --- a2 Second-order coefficient for n=DELTAv number=1 Each sequence and each vibrational band have been fitted with a fourth order polynomial form by using a numerical minimax procedure from the Nag mathematical library as a function of m=[J'(J'+1)-J"(J"+1)]/2, v" and {DELTA}v=n D^v"^_n_(m)=<v"+n, J"|M|v", J"> =a0(v",n)+a1(v",n)m+a2(v",n)m^2^+a3(v",n)m^3^+a4(v",n)m^4^ --- a3 Thrid-order coefficient for n=DELTAv number=1 Each sequence and each vibrational band have been fitted with a fourth order polynomial form by using a numerical minimax procedure from the Nag mathematical library as a function of m=[J'(J'+1)-J"(J"+1)]/2, v" and {DELTA}v=n D^v"^_n_(m)=<v"+n, J"|M|v", J"> =a0(v",n)+a1(v",n)m+a2(v",n)m^2^+a3(v",n)m^3^+a4(v",n)m^4^ --- a4 Fourth-order coefficient for n=DELTAv number=1 Each sequence and each vibrational band have been fitted with a fourth order polynomial form by using a numerical minimax procedure from the Nag mathematical library as a function of m=[J'(J'+1)-J"(J"+1)]/2, v" and {DELTA}v=n D^v"^_n_(m)=<v"+n, J"|M|v", J"> =a0(v",n)+a1(v",n)m+a2(v",n)m^2^+a3(v",n)m^3^+a4(v",n)m^4^ --- Patricia Bauer CDS 1996Apr25 J_A+AS_117_561.xml