Design patterns are characteristic structures of classes or objects which can be reused to achieve particular design goals in an elegant manner. As they are not available in the API on any design or development platform, it is very difficult for a developer to perceive the scope and application the design pattern. The formal specification of the design pattern helps in understanding the pattern symbolically. In this paper we propose the quantification of the aspects of a design pattern, earlier not limited to symbolic representation of the methods, attributes, relationships between the classes. By empirically analyzing the metrics it becomes very essential to incorporate the metrics to quantify the application of the class or the object that are embedded in the design pattern, as to build the modest formalized catalog.