Update README.md

README.md

@@ -2,7 +2,7 @@
 
 August 11 / 2020
 
-This constitutes a software package demonstrating the use of the expressions association with work published by [Sipkens and Daun (2017)][1]. The included functions evaluate to: (1) compute the transition or reference fluence and temperature for the given material set and (2) evaluate the fluence curve itself, with non-dimensional values or fluences in J/cm<sup>2</sup> and peak temperatures in K. This code replaces an older version available on [figshare][2]. 
+This constitutes a software package demonstrating the use of the expressions association with work published by [Sipkens and Daun (2017)][1_main]. The included functions evaluate to: (1) compute the transition or reference fluence and temperature for the given material set and (2) evaluate the fluence curve itself, with non-dimensional values or fluences in J/cm<sup>2</sup> and peak temperatures in Kelvin. This code replaces an older version available on [figshare][2]. 
 
 ### Demonstration
 
@@ -12,7 +12,7 @@ To start, generate a structure containing all of the relevant properties and dis
 prop = get_prop
 ```
 
-The user should see an output structure that contain fields corresponding to quantities like the density and specific heat capacity of the particle material, gas temperature, laser wavelength, Clausius-Clapeyron equation parameters, etc. The full list of parameters and their meaning are provided in the gen_prop function for reference. Further details on the physics are also given in [Sipkens and Daun][1]. Users can manually code these values or generate the default structure, as above, and modify the relevant values. It is worth noting that most of the properties are scalars. For example, the density takes on a single value, rather than being temperature-dependent. This is necessary for the simplified analysis suggested by this approach. Typically, evaluating temperature dependent properties around 2,500 K is sufficient to achieve reasonable estimates of the transition temperature and fluence. 
+The user should see an output structure that contain fields corresponding to quantities like the density and specific heat capacity of the particle material, gas temperature, laser wavelength, Clausius-Clapeyron equation parameters, etc. The full list of parameters and their meaning are provided in the gen_prop function for reference. Further details on the physics are also given in [Sipkens and Daun (2017)][1_main]. Users can manually code these values or generate the default structure, as above, and modify the relevant values. It is worth noting that most of the properties are scalars. For example, the density takes on a single value, rather than being temperature-dependent. This is necessary for the simplified analysis suggested by this approach. Typically, evaluating temperature dependent properties around 2,500 K is sufficient to achieve reasonable estimates of the transition temperature and fluence. 
 
 Next, compute the transition fluence and temperature,
 
@@ -22,7 +22,7 @@ Next, compute the transition fluence and temperature,
 
 The users should now see a set of outputs, where `Tref` corresponds to the peak temperature marking the transition from the low- to high-fluence regime and `Fref` constains the corresponding transition fluence. For the default properties, T<sub>ref</sub> = 4,255.5 K and F<sub>ref</sub> = 0.1170 J/cm<sup>2</sup>. 
 
-One can also generate the actual fluence curves. First, generate function handles corresponding to the low-, high-, and overall expressions from [Sipkens and Daun][1] using
+One can also generate the actual fluence curves. First, generate function handles corresponding to the low-, high-, and overall expressions from [Sipkens and Daun (2017)][1_main] using
 
 ```Matlab
 [T_fun, T_high, T_low] = ...
@@ -73,13 +73,14 @@ The primary author of the code is Timothy A. Sipkens, while at the University of
 
 Individuals who use the relations in this code should cite:
 
-[T. A. Sipkens, K. J. Daun. (2017). "Defining regimes and analytical expressions for fluence curves in pulsed laser heating of aerosolized nanoparticles." Optics Express 25(5).][1]
+> [T. A. Sipkens, K. J. Daun. (2017). "Defining regimes and analytical expressions for fluence curves in pulsed laser heating of aerosolized nanoparticles." Optics Express 25(5).][1_main]
 
 Those who use this code directly can also make reference to this repository:
 
-T. A. Sipkens. Matlab tools for TiRe-LII fluence curves. url: https://github.com/tsipkens/wat-lii-fluence. 
+> T. A. Sipkens. Matlab tools for TiRe-LII fluence curves. url: https://github.com/tsipkens/wat-lii-fluence. 
 
 
-[1]: https://doi.org/10.1364/OE.25.005684
 
-[2]: https://figshare.com/articles/dataset/MATLAB_tools_for_TiRe-LII_fluence_curves/5513497
+[1_main]: https://doi.org/10.1364/OE.25.005684
+
+[2]: https://figshare.com/articles/dataset/MATLAB_tools_for_TiRe-LII_fluence_curves/5513497