I feel like having an argument over this, LOL.  I've seen writers just use spiritual energy (which is probably the best we're going to get), but there's also 
reiki and 
chi out there.  So, which is it?  I've researched it quite a bit, but am still uncertain.  Here are my findings:
Ki: Commonly known as 
chi or 
qi (Chinese words for 
ki) and commonly referred to as 'spiritual/vital energy', 
ki is the basic, universal life energy which is believed to flow through all matter.  Individuals who dedicate themselves to spiritual teachings and practice self-awareness meditation are believed to be able to possess higher levels and awareness of their 
ki.
* My assumption is that this energy is not found in 
yoki-manipulating 
yokai, or in other words, it is not found in apparitions who break free of the universal life cycle and live off of their own energy, 
yoki.  
Yokai are considered to be an imbalance to the otherwise perfect cycle of life energy, and followers of any religion may exercise the spirit of a 
yokai with the intention of bringing them back into the natural cycle.
Reiki - As opposed to 
ki, which is the art of being capable of manipulating your own energy and exerting it at your own expense (depletion), 
reiki is the ability to basically be near someone and 'open' yourself as a conduit, allowing another to subconsciously absorb through you what their body needs from an eternal and limitless source of healing energy.  To summarize, reiki is the word you use to specify 'healing 
reiatsu', seeing as it is a common and specific practice of 'manipulating' energy.
Additional terms associated with ki are reiatsu and reiryoku.
Reiatsu - (spiritual pressure).  Someone capable of manipulating 
ki (spiritual energy) is also capable of manipulating said 
ki into something, said 'something' being generally called 
reiatsu.  
Reiatsu can be anything from the energy put into a 
sutra or an 
ofuda to a purifying barrier (
kekkai). The power of an individual's 
reiatsu is measured and limited by their 
reiryoku.
Reiryoku - The measure of total potential achieved by an individual in terms of 
ki and their capable manipulation of it into 
reiatsu.
**
Reiatsu and 
reiryoku are tricky to differentiate (at least they were for me with the definitions I found online).  The following sentence may help: 
Reiryoku is the term for the total potential with which someone can manipulate their 
ki and exert it into 
reiatsu.
To me, it seems that 
reiki is based on healing and nothing else, but I could be wrong.  What are your thoughts?
Reference links:
1 - Reiki and Qi Gong
2 - "Spiritual Energy"
I actually read about 
reiatsu and 
reiryoku a few weeks ago, and now can not find the article I read but there are plenty of Bleach sites to read up on them from.
In general, I think that 'spiritual energy' is the best by default since, but what is your word preference from above?