Other ways to say 'more precisely' and 'more exactly'

I am writing an academic report, and I often need to provide more information about my previous sayings. I usually use the phrases 'more precisely' and 'more exactly' to do so. But you know, after some time, my text becomes really boring. I wonder if there are other scientific expressions to say 'more precisely' and 'more exactly.'

e.g., We use a refrigerator with the temperature set to -7C to freeze the solution. More precisely, we need to pour the solution into a special container to let its temperature become equal to our room's temperature before putting it into the refrigerator.

Solution 1:

We use a refrigerator with the temperature set to -7C to freeze the solution. More precisely, we need to pour the solution into a special container

This is an inappropriate use of "more precisely". "More precisely" can only apply to a previously mentioned explanation.

In "We use a refrigerator with the temperature set to -7C to freeze the solution." there is no mention at all of pouring anything.

If you wanted to use "more precisely", it's clause would have to be something like:

"We use a refrigerator with the temperature set to -7C to freeze the solution. More precisely, a Bosch K19-A refrigerator."

or

"We use a refrigerator with the temperature set to -7C to freeze the solution. More precisely, a temperature that was regulated to -6.97C maximum and --7.09C minimum."

Your

We use a refrigerator with the temperature set to -7C to freeze the solution. More precisely, we need to pour the solution into a special container to let its temperature become equal to our room's temperature before putting it into the refrigerator.

Is very poor style - it is not in chronological order. It needs to be

We poured the solution into a special container and allowed its temperature to reach the temperature of the room and then, to freeze the solution, we put the container and solution into a refrigerator with the temperature set to -7C.