An enhancing reagent for enhancing chemiluminescence of 1,2-dioxetane compounds and a method for using the enhancing reagent to enhance the chemiluminescence are provided, in which the enhancing reagent contains an alkyl bis-quaternary ammonium salt of Formula I. It is further provided that discs of radially inner disc set axially support themselves against a guard ring fastened on the common disc carrier. Analogue to digital conversion circuitry is interposed between the image sensing circuitry and the memory circuitry to digitize the image data from the sensing circuitry for storage in the memory circuitry. Processing the cracked airfoil finite element model includes accessing the cracked airfoil finite element model, computing a modal stress intensity factor of the cracked airfoil finite element model using fracture mechanics based finite element analysis, and computing a vibratory SIF based, at least in part, on the modal SIF and the at least one vibration response parameter. The system and method will automatically estimate the magnetization states of nanomagnetics disks into one of a plurality of energy minimum magnetization state configurations and provide an annotated image of the results of the estimation.