Emission core widths of K Ca H line in the umbra and penumbra of 9 sunspots and in their vicinity are measured. All sunspots are located near the solar disc center. Data on variation of widths Wt~ along the 'mean' sunspot radius are obtained. Values W~ in the umbra and penumbra centers are equal or somewhat less than on stars of the same luminosity.

An inversion of line profiles H and K Ca ~I in the umbra of two sunspots is performed. By means of a numerical experiment, a tentative study of possible application of the method of intercomparison of lines in the multiplet (Goldberg's method) is made in cases when the condition of source function equality in multiplet is not fulfilled.It is found that the source functions of H and K lines in the sunspot umbra vary in a monotonous way. Their ratio in the layers for which measured values of A21) are available differs from unity. In the region of the lower chromosphere under consideration, the Doppler width is decreasing with height.