(1) shall include only the death benefits authorized by:

(a) sections sixty, sixty-a, sixty-b, sixty-c, three hundred sixty, three hundred sixty-a, three hundred sixty-b, three hundred sixty-c, four hundred forty-eight, four hundred forty-eight-a, five hundred eight, five hundred eight-a, six hundred six and six hundred six-a of the retirement and social security law; and

(b) section five hundred twelve of the education law; and

(c) sections B3-32.0, B20-39.0 and B20-40.0 of the administrative code of the city of New York and

(d) subdivisions a, b and c of section B18-38.0 of such code and subdivisions a, a-1, b, c and f of section B19-7.79 of such code; and

(e) section twenty of the rules and regulations of the board of education retirement system of the city of New York; and

(f) subdivision four of section B3-36.0 of such code, subdivision two of section B20-41.0 of such code, subdivision d of section B18-38.0 of such code, subdivisions d, e and f of section B19-7.79 of such code, section two hundred seven-h of the general municipal law, as added by chapter nine hundred four of the laws of nineteen hundred sixty-six and amended, section two hundred seven-h of the general municipal law, as added by chapter nine hundred six of the laws of nineteen hundred sixty-six and section fourteen-a of the rules and regulations of the board of education retirement system of the city of New York, in any case where the death to which any of the provisions above mentioned in this subparagraph (f) is applicable occurs before the effective date of retirement designated by the member or by the board of trustees of the retirement system, as the case may be; and

(2) shall include the accelerated death benefit authorized by subdivision nine of section five hundred eleven of the education law; and

(3) shall not include a death benefit payable as the result of an accident sustained in the performance of duty.