Is there a material that could "convert" near infrared frequency to infrared? I have a laser with a wavelength of 650 nm (visible red light) and was wondering if there is some sort of material that could be used to absorb and disperse a different frequency of light around (900 nm). 
Energy would just be dissipated by the material as it is converted to a lower frequency, 
 A: I found a link for halving too:
Nonclassical light generation in the process of self-frequency halving in a periodically poled active nonlinear Nd:Mg:LiNbO3 crystal 

Nonclassical light generation at self-frequency halving in periodically poled active nonlinear crystals is studied. The squeezing spectra of fundamental radiation and its subharmonic are investigated for a periodically poled Nd:Mg:LiNbO3 crystal.

It seems to be a matter of research at the present time, not something available for any laser beam in the manner you envisage. 
A: Assuming when you say the output is "dispersed" you mean it is incoherent and radiating in all directions, what you are asking for is a fluorescent material. 
A Google search for "IR fluorescence" finds a couple of companies making these materials for biological sample marking, however the ones I checked into further need a slightly longer excitation wavelength to work efficiently. 
If you actually want a coherent output beam, these or similar materials might be usable as the active medium in a dye laser to be pumped by your 650 nm beam. 
