Methods for providing bond activation catalysts and related catalysts, systems, and methods

A catalytic matrix for activation of a R—H bond in a R—H substrate wherein R is an alkyl group, the R—H bond having an R—H bond enthalpy, the catalytic matrix comprising a plurality of catalytic cores of Formula (III):

• wherein:
• Y1 is NH, Y1 being capable of forming a Y1-H single bond with the H from the R—H substrate, and the Y1-H single bond having a Y1-H enthalpy;
• X is P;
• Z is NH;
• Y2 is NH;
• M is V;
• i is 1-2;
• j is 0-1;
• and
• k is 0-1;
• wherein Y1, X, Z, M, and Y2 are selected such that the Y1-H single bond enthalpy is equal or lower than the R—H single bond enthalpy;
• and wherein the M and X of each catalytic core of the plurality of the catalytic cores of Formula (III) are connected to a supporting moiety A, wherein the supporting moiety A links the M and the X of each catalytic core of the plurality of the catalytic cores of Formula (III), the supporting moiety A configured to form a framework presenting Y1 of each catalytic core of the plurality of the catalytic cores for reaction with a substrate R—H
• wherein A is a moiety of formula (IV):
• in which:
• is an αand/or βbond;
• M′ is V;
• Y1 is NH;
• Y2 is NH;
• Z is NH;
• and
• X* is P,
• and wherein n is 1-6, and j, i2, and k2 are independently 0 or 1, and wherein a terminal Z of the moiety of Formula IV is linked to an M or an X element of a catalytic core of Formula III.