Legendre Polynomials

The angular dependence of the rigid-rotor wavefunctions is described by a family of functions known as Legendre polynomials.

[@jaybae8056]

this is by far the best tutorial on yt. thank you so much.

[@muhsinhancer]

very clear explanation. thanks a lot Dr. Steven Stuart

[@PhysicalChemistry]

My pleasure

[@arifahmedbegg2199]

My college lectures on this topic were very boring & tough too. Thanks to you sir for helping.

[@PhysicalChemistry]

Happy to help. Polynomial basis sets are fascinating and useful, but t is definitely be hard to teach them in a way that doesn't put students to sleep.

[@mortezakhoshbin]

so simple. thanks god for finding your channel

[@PhysicalChemistry]

It is simple once it makes sense to you, right? Thanks for the support.

[@mortezakhoshbin]

@@PhysicalChemistryright! thank you...

[@lordofutub]

Yo this is such a good explanation

[@loser-kun8062]

Thank you for your effort.

[@PhysicalChemistry]

My pleasure! Thank you for your interest

[@adeelrahmat3194]

In wave function we put m is negative so how we calculate Legendre polynomial on negative numbers??

[@PhysicalChemistry]

They are different only in the normalization constant. The x-dependence of P_l^m is the same as that of P_l^−m. If the normalization constant is important, then you can use this equation: P_l^−m = P_l^m * (l-m)! / (l+m)!

[@lordofutub]

Please up your mic