Ohio Rev. Code Ann. § 2929.025
(A) As used in this section:
(1) A person has a "serious mental illness" if both of the following apply with respect to the person, subject to division (A)(2) of this section:
(a) The person has been diagnosed as described in division (B) of this section with one or more of the following conditions:
(b) At the time of the alleged aggravated murder with which the person is charged, the condition or conditions described in division (A)(1)(a) of this section with which the person has been diagnosed, while not meeting the standard to be found not guilty by reason of insanity as defined in section 2901.01 of the Revised Code or the standard to be found incompetent to stand trial as described in division (G) of section 2945.37 of the Revised Code, nevertheless significantly impaired the person's capacity to exercise rational judgment in relation to the person's conduct with respect to either of the following:
(D)
(E)
(F)