A compound for use in a method of treating a mitochondrial disorder, a compound that is selected from the group consisting of: (a) compounds of formula XO, formula XR, formula XII-O and formula XII-R: ** Formula ** where R11, R12 and R13 are independently selected from the group consisting of H, -C1-C4 alkyl, -C1-C4 haloalkyl, -CN, -F, -Cl, -Br and -I, with the proviso that if any of R11, R12 or R13 is H, then at least one of the other two substituents is not H or methyl; and all stereoisomers, mixtures of stereoisomers, solvates and hydrates thereof; and (b) compounds of formula VII-O, formula VII-R, formula IX-O and formula IX-R: ** Formula ** where R1, R2 and R3 are independently selected from -C1-C4 alkyl, with the provided that at least one of R1, R2 and R3 is not methyl; and all stereoisomers, mixtures of stereoisomers, solvates and hydrates thereof; wherein the method comprises administering a therapeutically effective amount of the compound; and in which the mitochondrial disorder is selected from the group consisting of Leber's hereditary optic neuropathy (NOHL); Leigh's disease; mitochondrial myopathy, encephalopathy, lactic acidosis, stroke (MELAS); Kearns-Sayre syndrome (SKS); Friedreich's ataxia (AF); hereditary mitochondrial diseases; myoclonic epilepsy associated with torn red fibers (RRMS); other myopathies; cardiomyopathy; encephalomyopathy; renal tubular acidosis; neurodegenerative diseases; Parkinson's disease; Alzheimer disease; Amyotrophic lateral sclerosis (ALS); neuromotor diseases; other neurological diseases; epilepsy; genetic diseases; Huntington's disease; mood disorders; schizophrenia; Bipolar disorder; age-related diseases; macular degeneration; and diabetesUn compuesto para su uso en un método para tratar un trastorno mitocondrial, compuesto que se selecciona del grupo que consiste en: (a) compuestos de fórmula X-O, fórmula X-R, fórmula XII-O y fórmula XII-R: **Fórmula** donde R11, R12 y R13 se seleccionan independientemente del grupo q