This article is cited by 75 publications. Below the critical polymer chain length, chain dynamics are chain length-dependent. A critical polymer chain length is found above which polymer chain dynamics behave in a similar manner, regardless of the size of the polymer. We show that the parameters retrieved by this analysis are internally consistent within the theoretical framework of the blob model. The kinetics of the pyrene groups are monitored by only three parameters: k diff, the rate at which one excited pyrene encounters one ground state (GS) pyrene inside a blob k e, the product characterizing the exchange of GS pyrene between blobs ( k e is the rate of exchange and is the blob concentration inside the polymer coil) and 〈 n〉, the average number of GS pyrene per blob. The polymer coil was divided into several blobs among which pyrene is randomly distributed according to a Poisson distribution. The dynamics of the chains were investigated quantitatively by monitoring the fluorescence of the pyrene monomer. The chromophore pyrene was randomly and covalently attached onto the polymers. For example, we have to find the value of the x-variable in terms of the y-variable from the first equation and then substitute the value of the x-variable in the second equation.Monodisperse polystyrenes ( M w/ M n < 1.15) with molecular weights of 6K, 40K, and 110K and one polydisperse polystyrene ( M w/ M n = 1.5) with a molecular weight of 110K were synthesized. Thus, a pair of linear equations gets transformed into one linear equation with just one variable, which can then be solved with ease. As the name implies, in the substitution method, the value of a variable from one equation is substituted into the second equation. The substitution method is one of the algebraic methods to solve a system of linear equations with two variables. There are mainly two methods for solving simultaneous linear equations: the graphical method and the algebraic method. Solving a linear equation means finding the solution to the given linear equation. The algebraic method is further classified into three types, namely: Some of the examples of linear equations are 3x+4= 0, 2y = 8, m + n = 5, 4a – 3b + c = 7, x/2 = 8, etc. The standard form of a linear equation in two variables is of the form ax + by + c = 0, where a and b are coefficients of x and y, respectively, and c is a constant. The general form of a linear equation in one variable is ax + b = 0, where a is a coefficient of x and b is constant. When the equation has only one variable and the highest degree is 1, then it is called a linear equation in one variable. A linear equation’s graph will always be a straight line. The equation in which the highest power of the variable is always 1 is called a linear equation (or) the first-order equation.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |