The symmetry characters of quasiperiodic crystals and incommensurable phases were discussed.是什么意思？

The symmetry characters of quasiperiodic crystals and incommensurable phases were discussed.

讨论了准晶体及无公度相的对称特点.

the

art. 指已提到的人（物），指说话人与听者已知的人（物），用于独一无二的事物前，与形容词最高级和序数词连用；

例句
He did have a real knowledge of the country...
他对该国的确知之甚多。

symmetry

n. 对称，对称美，整齐，匀称；

例句
...the incredible beauty and symmetry of a snowflake...
雪花难以置信的美丽和对称

characters

n. [计] 字符，（令人讨厌的或古怪的）人（ character的名词复数 ），特征，品质，人物；

例句
He's made the characters believable.
他让个个角色都逼真可信。

of

prep. 关于，属于…的，由…制成；aux. 助动词 [非标准用语、方言] =have [主用于虚拟语气]；

例句
He did have a real knowledge of the country...
他对该国的确知之甚多。

crystals

n. 水晶( crystal的名词复数 )，结晶（体）；

例句
These crystals are then embedded in a plastic, and the plastic is extruded as a wire...
然后将这些晶体嵌入一块塑料，再把塑料挤压成线。

and

conj. 和，与，而且，于是，然后，因此；

例句
I spend a lot on expensive jewelry and clothing...
我花很多钱购买昂贵的首饰和衣服。

incommensurable

adj. 不能比较的，不配比较的；

例句
The symmetry characters of quasiperiodic crystals and incommensurable phases were discussed.
讨论了准晶体及无公度相的对称特点.

phases

n. [化学]相( phase的名词复数 )，阶段，[物理学]相位，（月亮、行星的）位相；

例句
I go through phases where everything I write is just dross.
有几段时间我写什么都是垃圾。

were

be的过去时复数和第二人称单数形式，有时代替 was,用于条件从句、动词 wish 之后等；

例句
Shops, houses, and vehicles were set ablaze.
店铺、房子和车辆全都陷于火海。

discussed

v. 谈论( discuss的过去式和过去分词 )，讨论，商量，论述；

例句
We were very adult about it. We discussed it rationally over a drink.
在这件事上我们表现得很成熟。我们一边喝酒一边心平气和地谈了谈。