Here some measurements of diodes I have for crystal radio experiments. 
The SMD types are soldered onto a "surfboard",.. well all of them now.

Measurements are done to know the Rd of the diodes. Knowing the Rd you can select a correct one to match the diode with the 3 times parallel resistance of the LC circuit.
For instance: freq=1500Khz, coil=215µH, Q=1200, makes Rparallel of 2430Ω. 3 times Rp makes 7291KΩ.
So a HSMS-2812 should make about the correct diode.
Then match that using a audiotransformer with same value.  If you have one.

The diodes I have are measured as Ben Tongue did, measuring the Saturation current and idiality factor. With these figures i can calculate the diode resistance at zero volt (Rd).
The formula used for this is: Shockley equation Id = Is*{exp[(qe/(n*k*TK))*(V-I*Rs)]-1} or simplified  RD = 0,000086171  x n x TK / Is.

Where:
RD = diode resistance at zero Volt (unit: Ohm)
n = ideality factor, the lower this factor the better.
TK = temperature in Kelvin (= temperature in ºC + 273)
Is = saturation current (unit: A)
qe = electron charge = 1.609E-19 coulomb
x = multiply

You`ll find Ben Tongues crystal radio pages here. See pages on diodes.

As for Article #16 on Ben`s pages, I edited the excel spreadsheet to calculate Is.
Here is the excel file.

Diodes below I have in my assortment are: 
 IS, Rd, n factor measured and calculated using Ben Tongues  #16 tool and above excel sheet.
Vf, If and Cj are taken from respective datasheets if available or DVM.
Some diodes give a ideality facor (n) lower as 1, presumably caused by losses inside my measering tool. This
is also seen with the measurements Ben Tongue made.

FO-215

With diodes with more then one in one housing, only one diode is in the sheet.
Others measured lower Rd, but that`s because they measured using higher forward currents.
.